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Finding the Fourth Proportional to 42,008.98, 57,971.02 and 24,103.70

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Solution

The fourth proportional to 42,008.98, 57,971.02 and 24,103.70 is: 33,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,008.98 : 57,971.02 = 24,103.70 : x
  2. Step 2: Convert to fraction form
    42,008.98/57,971.02 = 24,103.70/x
  3. Step 3: Cross multiply
    42,008.98x = 57,971.02 × 24,103.70
  4. Step 4: Simplify right side
    42,008.98x = 1,397,316,074.77
  5. Step 5: Solve for x
    x = 1,397,316,074.77/42,008.98
  6. Step 6: Final answer
    x = 33,262.32

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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.