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Finding the Fourth Proportional to 29,603.88, 40,834.26 and 17,658

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Solution

The fourth proportional to 29,603.88, 40,834.26 and 17,658 is: 24,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,603.88 : 40,834.26 = 17,658 : x
  2. Step 2: Convert to fraction form
    29,603.88/40,834.26 = 17,658/x
  3. Step 3: Cross multiply
    29,603.88x = 40,834.26 × 17,658
  4. Step 4: Simplify right side
    29,603.88x = 721,051,363.08
  5. Step 5: Solve for x
    x = 721,051,363.08/29,603.88
  6. Step 6: Final answer
    x = 24,356.65

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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.