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Finding the Fourth Proportional to 32,046.65, 48,070.08 and 9,859.88

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Solution

The fourth proportional to 32,046.65, 48,070.08 and 9,859.88 is: 14,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.65 : 48,070.08 = 9,859.88 : x
  2. Step 2: Convert to fraction form
    32,046.65/48,070.08 = 9,859.88/x
  3. Step 3: Cross multiply
    32,046.65x = 48,070.08 × 9,859.88
  4. Step 4: Simplify right side
    32,046.65x = 473,964,980.04
  5. Step 5: Solve for x
    x = 473,964,980.04/32,046.65
  6. Step 6: Final answer
    x = 14,789.85

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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.