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Finding the Fourth Proportional to 22,474,894.90, 33,712,342.35 and 8,098,431.70

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Solution

The fourth proportional to 22,474,894.90, 33,712,342.35 and 8,098,431.70 is: 12,147,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474,894.90 : 33,712,342.35 = 8,098,431.70 : x
  2. Step 2: Convert to fraction form
    22,474,894.90/33,712,342.35 = 8,098,431.70/x
  3. Step 3: Cross multiply
    22,474,894.90x = 33,712,342.35 × 8,098,431.70
  4. Step 4: Simplify right side
    22,474,894.90x = 273,017,101,968,492.50
  5. Step 5: Solve for x
    x = 273,017,101,968,492.50/22,474,894.90
  6. Step 6: Final answer
    x = 12,147,647.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.