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Finding the Fourth Proportional to 82,838.97, 124,260.48 and 30,248.64

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Solution

The fourth proportional to 82,838.97, 124,260.48 and 30,248.64 is: 45,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,838.97 : 124,260.48 = 30,248.64 : x
  2. Step 2: Convert to fraction form
    82,838.97/124,260.48 = 30,248.64/x
  3. Step 3: Cross multiply
    82,838.97x = 124,260.48 × 30,248.64
  4. Step 4: Simplify right side
    82,838.97x = 3,758,710,525.75
  5. Step 5: Solve for x
    x = 3,758,710,525.75/82,838.97
  6. Step 6: Final answer
    x = 45,373.70

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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.