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Finding the Fourth Proportional to 56,729.60, 84,892.80 and 49,414.40

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Solution

The fourth proportional to 56,729.60, 84,892.80 and 49,414.40 is: 73,946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,729.60 : 84,892.80 = 49,414.40 : x
  2. Step 2: Convert to fraction form
    56,729.60/84,892.80 = 49,414.40/x
  3. Step 3: Cross multiply
    56,729.60x = 84,892.80 × 49,414.40
  4. Step 4: Simplify right side
    56,729.60x = 4,194,926,776.32
  5. Step 5: Solve for x
    x = 4,194,926,776.32/56,729.60
  6. Step 6: Final answer
    x = 73,946.00

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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.