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Finding the Fourth Proportional to 92,044.16, 138,080.80 and 29,700.08

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Solution

The fourth proportional to 92,044.16, 138,080.80 and 29,700.08 is: 44,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,044.16 : 138,080.80 = 29,700.08 : x
  2. Step 2: Convert to fraction form
    92,044.16/138,080.80 = 29,700.08/x
  3. Step 3: Cross multiply
    92,044.16x = 138,080.80 × 29,700.08
  4. Step 4: Simplify right side
    92,044.16x = 4,101,010,806.46
  5. Step 5: Solve for x
    x = 4,101,010,806.46/92,044.16
  6. Step 6: Final answer
    x = 44,554.82

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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.