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Finding the Fourth Proportional to 61,802.70, 92,707.10 and 32,278.20

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Solution

The fourth proportional to 61,802.70, 92,707.10 and 32,278.20 is: 48,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,802.70 : 92,707.10 = 32,278.20 : x
  2. Step 2: Convert to fraction form
    61,802.70/92,707.10 = 32,278.20/x
  3. Step 3: Cross multiply
    61,802.70x = 92,707.10 × 32,278.20
  4. Step 4: Simplify right side
    61,802.70x = 2,992,418,153.83
  5. Step 5: Solve for x
    x = 2,992,418,153.83/61,802.70
  6. Step 6: Final answer
    x = 48,418.89

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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.