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Finding the Fourth Proportional to 82,062.63, 123,114.66 and 22,898.25

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Solution

The fourth proportional to 82,062.63, 123,114.66 and 22,898.25 is: 34,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,062.63 : 123,114.66 = 22,898.25 : x
  2. Step 2: Convert to fraction form
    82,062.63/123,114.66 = 22,898.25/x
  3. Step 3: Cross multiply
    82,062.63x = 123,114.66 × 22,898.25
  4. Step 4: Simplify right side
    82,062.63x = 2,819,110,263.35
  5. Step 5: Solve for x
    x = 2,819,110,263.35/82,062.63
  6. Step 6: Final answer
    x = 34,353.16

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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.