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Finding the Fourth Proportional to 42,678.72, 58,890.78 and 23,812.20

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Solution

The fourth proportional to 42,678.72, 58,890.78 and 23,812.20 is: 32,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,678.72 : 58,890.78 = 23,812.20 : x
  2. Step 2: Convert to fraction form
    42,678.72/58,890.78 = 23,812.20/x
  3. Step 3: Cross multiply
    42,678.72x = 58,890.78 × 23,812.20
  4. Step 4: Simplify right side
    42,678.72x = 1,402,319,031.52
  5. Step 5: Solve for x
    x = 1,402,319,031.52/42,678.72
  6. Step 6: Final answer
    x = 32,857.57

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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.