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Finding the Fourth Proportional to 72,514.68, 108,782.40 and 32,033.28

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Solution

The fourth proportional to 72,514.68, 108,782.40 and 32,033.28 is: 48,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,514.68 : 108,782.40 = 32,033.28 : x
  2. Step 2: Convert to fraction form
    72,514.68/108,782.40 = 32,033.28/x
  3. Step 3: Cross multiply
    72,514.68x = 108,782.40 × 32,033.28
  4. Step 4: Simplify right side
    72,514.68x = 3,484,657,078.27
  5. Step 5: Solve for x
    x = 3,484,657,078.27/72,514.68
  6. Step 6: Final answer
    x = 48,054.51

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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.