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Finding the Fourth Proportional to 52,417.78, 78,626.94 and 14,982.28

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Solution

The fourth proportional to 52,417.78, 78,626.94 and 14,982.28 is: 22,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,417.78 : 78,626.94 = 14,982.28 : x
  2. Step 2: Convert to fraction form
    52,417.78/78,626.94 = 14,982.28/x
  3. Step 3: Cross multiply
    52,417.78x = 78,626.94 × 14,982.28
  4. Step 4: Simplify right side
    52,417.78x = 1,178,010,830.62
  5. Step 5: Solve for x
    x = 1,178,010,830.62/52,417.78
  6. Step 6: Final answer
    x = 22,473.50

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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.