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Finding the Fourth Proportional to 32,497.74, 48,753.90 and 10,311.84

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Solution

The fourth proportional to 32,497.74, 48,753.90 and 10,311.84 is: 15,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.74 : 48,753.90 = 10,311.84 : x
  2. Step 2: Convert to fraction form
    32,497.74/48,753.90 = 10,311.84/x
  3. Step 3: Cross multiply
    32,497.74x = 48,753.90 × 10,311.84
  4. Step 4: Simplify right side
    32,497.74x = 502,742,416.18
  5. Step 5: Solve for x
    x = 502,742,416.18/32,497.74
  6. Step 6: Final answer
    x = 15,470.07

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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.