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Finding the Fourth Proportional to 61,142.28, 84,373.38 and 34,287.72

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Solution

The fourth proportional to 61,142.28, 84,373.38 and 34,287.72 is: 47,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.28 : 84,373.38 = 34,287.72 : x
  2. Step 2: Convert to fraction form
    61,142.28/84,373.38 = 34,287.72/x
  3. Step 3: Cross multiply
    61,142.28x = 84,373.38 × 34,287.72
  4. Step 4: Simplify right side
    61,142.28x = 2,892,970,828.89
  5. Step 5: Solve for x
    x = 2,892,970,828.89/61,142.28
  6. Step 6: Final answer
    x = 47,315.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.