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Finding the Fourth Proportional to 29,065, 43,603.98 and 10,597

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Solution

The fourth proportional to 29,065, 43,603.98 and 10,597 is: 15,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,065 : 43,603.98 = 10,597 : x
  2. Step 2: Convert to fraction form
    29,065/43,603.98 = 10,597/x
  3. Step 3: Cross multiply
    29,065x = 43,603.98 × 10,597
  4. Step 4: Simplify right side
    29,065x = 462,071,376.06
  5. Step 5: Solve for x
    x = 462,071,376.06/29,065
  6. Step 6: Final answer
    x = 15,897.86

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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.