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Finding the Fourth Proportional to 32,188, 48,251.76 and 29,302.24

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Solution

The fourth proportional to 32,188, 48,251.76 and 29,302.24 is: 43,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188 : 48,251.76 = 29,302.24 : x
  2. Step 2: Convert to fraction form
    32,188/48,251.76 = 29,302.24/x
  3. Step 3: Cross multiply
    32,188x = 48,251.76 × 29,302.24
  4. Step 4: Simplify right side
    32,188x = 1,413,884,651.94
  5. Step 5: Solve for x
    x = 1,413,884,651.94/32,188
  6. Step 6: Final answer
    x = 43,925.83

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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.