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Finding the Fourth Proportional to 32,748, 49,122.08 and 8,124

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Solution

The fourth proportional to 32,748, 49,122.08 and 8,124 is: 12,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,748 : 49,122.08 = 8,124 : x
  2. Step 2: Convert to fraction form
    32,748/49,122.08 = 8,124/x
  3. Step 3: Cross multiply
    32,748x = 49,122.08 × 8,124
  4. Step 4: Simplify right side
    32,748x = 399,067,777.92
  5. Step 5: Solve for x
    x = 399,067,777.92/32,748
  6. Step 6: Final answer
    x = 12,186.02

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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.