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Finding the Fourth Proportional to 74,518.38, 102,834.86 and 42,259.10

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Solution

The fourth proportional to 74,518.38, 102,834.86 and 42,259.10 is: 58,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,518.38 : 102,834.86 = 42,259.10 : x
  2. Step 2: Convert to fraction form
    74,518.38/102,834.86 = 42,259.10/x
  3. Step 3: Cross multiply
    74,518.38x = 102,834.86 × 42,259.10
  4. Step 4: Simplify right side
    74,518.38x = 4,345,707,906.76
  5. Step 5: Solve for x
    x = 4,345,707,906.76/74,518.38
  6. Step 6: Final answer
    x = 58,317.26

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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.