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Finding the Fourth Proportional to 29,425.65, 44,132.24 and 9,699.51

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Solution

The fourth proportional to 29,425.65, 44,132.24 and 9,699.51 is: 14,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,425.65 : 44,132.24 = 9,699.51 : x
  2. Step 2: Convert to fraction form
    29,425.65/44,132.24 = 9,699.51/x
  3. Step 3: Cross multiply
    29,425.65x = 44,132.24 × 9,699.51
  4. Step 4: Simplify right side
    29,425.65x = 428,061,292.95
  5. Step 5: Solve for x
    x = 428,061,292.95/29,425.65
  6. Step 6: Final answer
    x = 14,547.22

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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.