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Finding the Fourth Proportional to 54,387.16, 75,053.10 and 31,417

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Solution

The fourth proportional to 54,387.16, 75,053.10 and 31,417 is: 43,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,387.16 : 75,053.10 = 31,417 : x
  2. Step 2: Convert to fraction form
    54,387.16/75,053.10 = 31,417/x
  3. Step 3: Cross multiply
    54,387.16x = 75,053.10 × 31,417
  4. Step 4: Simplify right side
    54,387.16x = 2,357,943,242.70
  5. Step 5: Solve for x
    x = 2,357,943,242.70/54,387.16
  6. Step 6: Final answer
    x = 43,354.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.