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Finding the Fourth Proportional to 42,715, 58,946.09 and 24,820.08

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Solution

The fourth proportional to 42,715, 58,946.09 and 24,820.08 is: 34,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,715 : 58,946.09 = 24,820.08 : x
  2. Step 2: Convert to fraction form
    42,715/58,946.09 = 24,820.08/x
  3. Step 3: Cross multiply
    42,715x = 58,946.09 × 24,820.08
  4. Step 4: Simplify right side
    42,715x = 1,463,046,669.49
  5. Step 5: Solve for x
    x = 1,463,046,669.49/42,715
  6. Step 6: Final answer
    x = 34,251.36

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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.