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Finding the Fourth Proportional to 85,282.12, 127,923.18 and 22,951

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Solution

The fourth proportional to 85,282.12, 127,923.18 and 22,951 is: 34,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,282.12 : 127,923.18 = 22,951 : x
  2. Step 2: Convert to fraction form
    85,282.12/127,923.18 = 22,951/x
  3. Step 3: Cross multiply
    85,282.12x = 127,923.18 × 22,951
  4. Step 4: Simplify right side
    85,282.12x = 2,935,964,904.18
  5. Step 5: Solve for x
    x = 2,935,964,904.18/85,282.12
  6. Step 6: Final answer
    x = 34,426.50

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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.