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Finding the Fourth Proportional to 75,887, 104,726.22 and 42,355.16

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Solution

The fourth proportional to 75,887, 104,726.22 and 42,355.16 is: 58,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,887 : 104,726.22 = 42,355.16 : x
  2. Step 2: Convert to fraction form
    75,887/104,726.22 = 42,355.16/x
  3. Step 3: Cross multiply
    75,887x = 104,726.22 × 42,355.16
  4. Step 4: Simplify right side
    75,887x = 4,435,695,804.30
  5. Step 5: Solve for x
    x = 4,435,695,804.30/75,887
  6. Step 6: Final answer
    x = 58,451.33

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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.