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Finding the Fourth Proportional to 82,897.94, 124,390.92 and 36,154.46

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Solution

The fourth proportional to 82,897.94, 124,390.92 and 36,154.46 is: 54,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,897.94 : 124,390.92 = 36,154.46 : x
  2. Step 2: Convert to fraction form
    82,897.94/124,390.92 = 36,154.46/x
  3. Step 3: Cross multiply
    82,897.94x = 124,390.92 × 36,154.46
  4. Step 4: Simplify right side
    82,897.94x = 4,497,286,541.50
  5. Step 5: Solve for x
    x = 4,497,286,541.50/82,897.94
  6. Step 6: Final answer
    x = 54,250.88

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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.