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Finding the Fourth Proportional to 61,184.32, 84,445.92 and 39,981.76

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Solution

The fourth proportional to 61,184.32, 84,445.92 and 39,981.76 is: 55,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,184.32 : 84,445.92 = 39,981.76 : x
  2. Step 2: Convert to fraction form
    61,184.32/84,445.92 = 39,981.76/x
  3. Step 3: Cross multiply
    61,184.32x = 84,445.92 × 39,981.76
  4. Step 4: Simplify right side
    61,184.32x = 3,376,296,506.42
  5. Step 5: Solve for x
    x = 3,376,296,506.42/61,184.32
  6. Step 6: Final answer
    x = 55,182.38

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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.