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Finding the Fourth Proportional to 42,969.92, 59,298.24 and 24,107

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Solution

The fourth proportional to 42,969.92, 59,298.24 and 24,107 is: 33,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,969.92 : 59,298.24 = 24,107 : x
  2. Step 2: Convert to fraction form
    42,969.92/59,298.24 = 24,107/x
  3. Step 3: Cross multiply
    42,969.92x = 59,298.24 × 24,107
  4. Step 4: Simplify right side
    42,969.92x = 1,429,502,671.68
  5. Step 5: Solve for x
    x = 1,429,502,671.68/42,969.92
  6. Step 6: Final answer
    x = 33,267.52

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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.