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Finding the Fourth Proportional to 92,782.48, 138,957.16 and 67,760.52

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Solution

The fourth proportional to 92,782.48, 138,957.16 and 67,760.52 is: 101,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,782.48 : 138,957.16 = 67,760.52 : x
  2. Step 2: Convert to fraction form
    92,782.48/138,957.16 = 67,760.52/x
  3. Step 3: Cross multiply
    92,782.48x = 138,957.16 × 67,760.52
  4. Step 4: Simplify right side
    92,782.48x = 9,415,809,419.32
  5. Step 5: Solve for x
    x = 9,415,809,419.32/92,782.48
  6. Step 6: Final answer
    x = 101,482.62

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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.