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Finding the Fourth Proportional to 29,165.40, 43,748.10 and 9,458.10

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Solution

The fourth proportional to 29,165.40, 43,748.10 and 9,458.10 is: 14,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,165.40 : 43,748.10 = 9,458.10 : x
  2. Step 2: Convert to fraction form
    29,165.40/43,748.10 = 9,458.10/x
  3. Step 3: Cross multiply
    29,165.40x = 43,748.10 × 9,458.10
  4. Step 4: Simplify right side
    29,165.40x = 413,773,904.61
  5. Step 5: Solve for x
    x = 413,773,904.61/29,165.40
  6. Step 6: Final answer
    x = 14,187.15

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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.