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Finding the Fourth Proportional to 54,287.28, 74,876.40 and 34,128

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Solution

The fourth proportional to 54,287.28, 74,876.40 and 34,128 is: 47,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,287.28 : 74,876.40 = 34,128 : x
  2. Step 2: Convert to fraction form
    54,287.28/74,876.40 = 34,128/x
  3. Step 3: Cross multiply
    54,287.28x = 74,876.40 × 34,128
  4. Step 4: Simplify right side
    54,287.28x = 2,555,381,779.20
  5. Step 5: Solve for x
    x = 2,555,381,779.20/54,287.28
  6. Step 6: Final answer
    x = 47,071.46

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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.