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Finding the Fourth Proportional to 32,021.52, 48,031.92 and 14,479.20

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Solution

The fourth proportional to 32,021.52, 48,031.92 and 14,479.20 is: 21,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.52 : 48,031.92 = 14,479.20 : x
  2. Step 2: Convert to fraction form
    32,021.52/48,031.92 = 14,479.20/x
  3. Step 3: Cross multiply
    32,021.52x = 48,031.92 × 14,479.20
  4. Step 4: Simplify right side
    32,021.52x = 695,463,776.06
  5. Step 5: Solve for x
    x = 695,463,776.06/32,021.52
  6. Step 6: Final answer
    x = 21,718.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.