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Finding the Fourth Proportional to 32,317.71, 48,500.87 and 14,799.84

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Solution

The fourth proportional to 32,317.71, 48,500.87 and 14,799.84 is: 22,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,317.71 : 48,500.87 = 14,799.84 : x
  2. Step 2: Convert to fraction form
    32,317.71/48,500.87 = 14,799.84/x
  3. Step 3: Cross multiply
    32,317.71x = 48,500.87 × 14,799.84
  4. Step 4: Simplify right side
    32,317.71x = 717,805,041.86
  5. Step 5: Solve for x
    x = 717,805,041.86/32,317.71
  6. Step 6: Final answer
    x = 22,210.89

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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.