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Finding the Fourth Proportional to 42,385.36, 58,478.28 and 24,478

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Solution

The fourth proportional to 42,385.36, 58,478.28 and 24,478 is: 33,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,385.36 : 58,478.28 = 24,478 : x
  2. Step 2: Convert to fraction form
    42,385.36/58,478.28 = 24,478/x
  3. Step 3: Cross multiply
    42,385.36x = 58,478.28 × 24,478
  4. Step 4: Simplify right side
    42,385.36x = 1,431,431,337.84
  5. Step 5: Solve for x
    x = 1,431,431,337.84/42,385.36
  6. Step 6: Final answer
    x = 33,771.83

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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.