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Finding the Fourth Proportional to 83,239.24, 124,739.10 and 35,841.32

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Solution

The fourth proportional to 83,239.24, 124,739.10 and 35,841.32 is: 53,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,239.24 : 124,739.10 = 35,841.32 : x
  2. Step 2: Convert to fraction form
    83,239.24/124,739.10 = 35,841.32/x
  3. Step 3: Cross multiply
    83,239.24x = 124,739.10 × 35,841.32
  4. Step 4: Simplify right side
    83,239.24x = 4,470,813,999.61
  5. Step 5: Solve for x
    x = 4,470,813,999.61/83,239.24
  6. Step 6: Final answer
    x = 53,710.41

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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.