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Finding the Fourth Proportional to 97,870.85, 146,570.70 and 55,647.64

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Solution

The fourth proportional to 97,870.85, 146,570.70 and 55,647.64 is: 83,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,870.85 : 146,570.70 = 55,647.64 : x
  2. Step 2: Convert to fraction form
    97,870.85/146,570.70 = 55,647.64/x
  3. Step 3: Cross multiply
    97,870.85x = 146,570.70 × 55,647.64
  4. Step 4: Simplify right side
    97,870.85x = 8,156,313,627.02
  5. Step 5: Solve for x
    x = 8,156,313,627.02/97,870.85
  6. Step 6: Final answer
    x = 83,337.52

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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.