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Finding the Fourth Proportional to 72,762.80, 109,147.85 and 26,015.68

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Solution

The fourth proportional to 72,762.80, 109,147.85 and 26,015.68 is: 39,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,762.80 : 109,147.85 = 26,015.68 : x
  2. Step 2: Convert to fraction form
    72,762.80/109,147.85 = 26,015.68/x
  3. Step 3: Cross multiply
    72,762.80x = 109,147.85 × 26,015.68
  4. Step 4: Simplify right side
    72,762.80x = 2,839,554,862.47
  5. Step 5: Solve for x
    x = 2,839,554,862.47/72,762.80
  6. Step 6: Final answer
    x = 39,024.82

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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.