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Finding the Fourth Proportional to 82,952.46, 124,428.54 and 20,622.96

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Solution

The fourth proportional to 82,952.46, 124,428.54 and 20,622.96 is: 30,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952.46 : 124,428.54 = 20,622.96 : x
  2. Step 2: Convert to fraction form
    82,952.46/124,428.54 = 20,622.96/x
  3. Step 3: Cross multiply
    82,952.46x = 124,428.54 × 20,622.96
  4. Step 4: Simplify right side
    82,952.46x = 2,566,084,803.28
  5. Step 5: Solve for x
    x = 2,566,084,803.28/82,952.46
  6. Step 6: Final answer
    x = 30,934.40

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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.