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Finding the Fourth Proportional to 42,712.16, 58,942.14 and 24,817.20

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Solution

The fourth proportional to 42,712.16, 58,942.14 and 24,817.20 is: 34,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,712.16 : 58,942.14 = 24,817.20 : x
  2. Step 2: Convert to fraction form
    42,712.16/58,942.14 = 24,817.20/x
  3. Step 3: Cross multiply
    42,712.16x = 58,942.14 × 24,817.20
  4. Step 4: Simplify right side
    42,712.16x = 1,462,778,876.81
  5. Step 5: Solve for x
    x = 1,462,778,876.81/42,712.16
  6. Step 6: Final answer
    x = 34,247.36

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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.