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Finding the Fourth Proportional to 72,016.65, 108,041.78 and 24,632.12

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Solution

The fourth proportional to 72,016.65, 108,041.78 and 24,632.12 is: 36,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,016.65 : 108,041.78 = 24,632.12 : x
  2. Step 2: Convert to fraction form
    72,016.65/108,041.78 = 24,632.12/x
  3. Step 3: Cross multiply
    72,016.65x = 108,041.78 × 24,632.12
  4. Step 4: Simplify right side
    72,016.65x = 2,661,298,421.66
  5. Step 5: Solve for x
    x = 2,661,298,421.66/72,016.65
  6. Step 6: Final answer
    x = 36,953.93

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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.