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Finding the Fourth Proportional to 54,862.08, 75,708.32 and 30,988

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Solution

The fourth proportional to 54,862.08, 75,708.32 and 30,988 is: 42,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,862.08 : 75,708.32 = 30,988 : x
  2. Step 2: Convert to fraction form
    54,862.08/75,708.32 = 30,988/x
  3. Step 3: Cross multiply
    54,862.08x = 75,708.32 × 30,988
  4. Step 4: Simplify right side
    54,862.08x = 2,346,049,420.16
  5. Step 5: Solve for x
    x = 2,346,049,420.16/54,862.08
  6. Step 6: Final answer
    x = 42,762.68

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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.