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Finding the Fourth Proportional to 61,802.88, 92,749.12 and 42,034.56

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Solution

The fourth proportional to 61,802.88, 92,749.12 and 42,034.56 is: 63,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,802.88 : 92,749.12 = 42,034.56 : x
  2. Step 2: Convert to fraction form
    61,802.88/92,749.12 = 42,034.56/x
  3. Step 3: Cross multiply
    61,802.88x = 92,749.12 × 42,034.56
  4. Step 4: Simplify right side
    61,802.88x = 3,898,668,449.59
  5. Step 5: Solve for x
    x = 3,898,668,449.59/61,802.88
  6. Step 6: Final answer
    x = 63,082.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.