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Finding the Fourth Proportional to 72,032.16, 107,982.48 and 25,259.52

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Solution

The fourth proportional to 72,032.16, 107,982.48 and 25,259.52 is: 37,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,032.16 : 107,982.48 = 25,259.52 : x
  2. Step 2: Convert to fraction form
    72,032.16/107,982.48 = 25,259.52/x
  3. Step 3: Cross multiply
    72,032.16x = 107,982.48 × 25,259.52
  4. Step 4: Simplify right side
    72,032.16x = 2,727,585,613.21
  5. Step 5: Solve for x
    x = 2,727,585,613.21/72,032.16
  6. Step 6: Final answer
    x = 37,866.22

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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.