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Finding the Fourth Proportional to 74,132.64, 102,301.58 and 42,296.40

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Solution

The fourth proportional to 74,132.64, 102,301.58 and 42,296.40 is: 58,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,132.64 : 102,301.58 = 42,296.40 : x
  2. Step 2: Convert to fraction form
    74,132.64/102,301.58 = 42,296.40/x
  3. Step 3: Cross multiply
    74,132.64x = 102,301.58 × 42,296.40
  4. Step 4: Simplify right side
    74,132.64x = 4,326,988,548.31
  5. Step 5: Solve for x
    x = 4,326,988,548.31/74,132.64
  6. Step 6: Final answer
    x = 58,368.20

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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.