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Finding the Fourth Proportional to 32,499.51, 48,751.10 and 9,124.13

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Solution

The fourth proportional to 32,499.51, 48,751.10 and 9,124.13 is: 13,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,499.51 : 48,751.10 = 9,124.13 : x
  2. Step 2: Convert to fraction form
    32,499.51/48,751.10 = 9,124.13/x
  3. Step 3: Cross multiply
    32,499.51x = 48,751.10 × 9,124.13
  4. Step 4: Simplify right side
    32,499.51x = 444,811,084.67
  5. Step 5: Solve for x
    x = 444,811,084.67/32,499.51
  6. Step 6: Final answer
    x = 13,686.70

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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.