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Finding the Fourth Proportional to 32,468.40, 48,724.20 and 14,929.20

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Solution

The fourth proportional to 32,468.40, 48,724.20 and 14,929.20 is: 22,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.40 : 48,724.20 = 14,929.20 : x
  2. Step 2: Convert to fraction form
    32,468.40/48,724.20 = 14,929.20/x
  3. Step 3: Cross multiply
    32,468.40x = 48,724.20 × 14,929.20
  4. Step 4: Simplify right side
    32,468.40x = 727,413,326.64
  5. Step 5: Solve for x
    x = 727,413,326.64/32,468.40
  6. Step 6: Final answer
    x = 22,403.73

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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.