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Finding the Fourth Proportional to 42,140.69, 58,155.84 and 24,235.69

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Solution

The fourth proportional to 42,140.69, 58,155.84 and 24,235.69 is: 33,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,140.69 : 58,155.84 = 24,235.69 : x
  2. Step 2: Convert to fraction form
    42,140.69/58,155.84 = 24,235.69/x
  3. Step 3: Cross multiply
    42,140.69x = 58,155.84 × 24,235.69
  4. Step 4: Simplify right side
    42,140.69x = 1,409,446,909.93
  5. Step 5: Solve for x
    x = 1,409,446,909.93/42,140.69
  6. Step 6: Final answer
    x = 33,446.22

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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.