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Finding the Fourth Proportional to 29,097.60, 43,641.12 and 8,316

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Solution

The fourth proportional to 29,097.60, 43,641.12 and 8,316 is: 12,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097.60 : 43,641.12 = 8,316 : x
  2. Step 2: Convert to fraction form
    29,097.60/43,641.12 = 8,316/x
  3. Step 3: Cross multiply
    29,097.60x = 43,641.12 × 8,316
  4. Step 4: Simplify right side
    29,097.60x = 362,919,553.92
  5. Step 5: Solve for x
    x = 362,919,553.92/29,097.60
  6. Step 6: Final answer
    x = 12,472.49

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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.