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Finding the Fourth Proportional to 42,382.98, 58,484.16 and 24,478.74

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Solution

The fourth proportional to 42,382.98, 58,484.16 and 24,478.74 is: 33,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,382.98 : 58,484.16 = 24,478.74 : x
  2. Step 2: Convert to fraction form
    42,382.98/58,484.16 = 24,478.74/x
  3. Step 3: Cross multiply
    42,382.98x = 58,484.16 × 24,478.74
  4. Step 4: Simplify right side
    42,382.98x = 1,431,618,546.76
  5. Step 5: Solve for x
    x = 1,431,618,546.76/42,382.98
  6. Step 6: Final answer
    x = 33,778.15

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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.