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Finding the Fourth Proportional to 53,098.96, 73,264.80 and 30,730

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Solution

The fourth proportional to 53,098.96, 73,264.80 and 30,730 is: 42,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,098.96 : 73,264.80 = 30,730 : x
  2. Step 2: Convert to fraction form
    53,098.96/73,264.80 = 30,730/x
  3. Step 3: Cross multiply
    53,098.96x = 73,264.80 × 30,730
  4. Step 4: Simplify right side
    53,098.96x = 2,251,427,304
  5. Step 5: Solve for x
    x = 2,251,427,304/53,098.96
  6. Step 6: Final answer
    x = 42,400.59

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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.