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Finding the Fourth Proportional to 74,419.38, 102,669.80 and 42,146.60

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Solution

The fourth proportional to 74,419.38, 102,669.80 and 42,146.60 is: 58,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,419.38 : 102,669.80 = 42,146.60 : x
  2. Step 2: Convert to fraction form
    74,419.38/102,669.80 = 42,146.60/x
  3. Step 3: Cross multiply
    74,419.38x = 102,669.80 × 42,146.60
  4. Step 4: Simplify right side
    74,419.38x = 4,327,182,268.60
  5. Step 5: Solve for x
    x = 4,327,182,268.60/74,419.38
  6. Step 6: Final answer
    x = 58,145.91

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Why These Related Problems?

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