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Finding the Fourth Proportional to 85,283.12, 127,924.68 and 22,952

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Solution

The fourth proportional to 85,283.12, 127,924.68 and 22,952 is: 34,428

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,283.12 : 127,924.68 = 22,952 : x
  2. Step 2: Convert to fraction form
    85,283.12/127,924.68 = 22,952/x
  3. Step 3: Cross multiply
    85,283.12x = 127,924.68 × 22,952
  4. Step 4: Simplify right side
    85,283.12x = 2,936,127,255.36
  5. Step 5: Solve for x
    x = 2,936,127,255.36/85,283.12
  6. Step 6: Final answer
    x = 34,428

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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.