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Finding the Fourth Proportional to 42,700.80, 64,057.28 and 13,114.20

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Solution

The fourth proportional to 42,700.80, 64,057.28 and 13,114.20 is: 19,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,700.80 : 64,057.28 = 13,114.20 : x
  2. Step 2: Convert to fraction form
    42,700.80/64,057.28 = 13,114.20/x
  3. Step 3: Cross multiply
    42,700.80x = 64,057.28 × 13,114.20
  4. Step 4: Simplify right side
    42,700.80x = 840,059,915.81
  5. Step 5: Solve for x
    x = 840,059,915.81/42,700.80
  6. Step 6: Final answer
    x = 19,673.17

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