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Finding the Fourth Proportional to 74,167.10, 102,357.90 and 42,340.76

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Solution

The fourth proportional to 74,167.10, 102,357.90 and 42,340.76 is: 58,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,167.10 : 102,357.90 = 42,340.76 : x
  2. Step 2: Convert to fraction form
    74,167.10/102,357.90 = 42,340.76/x
  3. Step 3: Cross multiply
    74,167.10x = 102,357.90 × 42,340.76
  4. Step 4: Simplify right side
    74,167.10x = 4,333,911,278.00
  5. Step 5: Solve for x
    x = 4,333,911,278.00/74,167.10
  6. Step 6: Final answer
    x = 58,434.42

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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.