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Finding the Fourth Proportional to 82,302.80, 123,461.48 and 23,138.98

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Solution

The fourth proportional to 82,302.80, 123,461.48 and 23,138.98 is: 34,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,302.80 : 123,461.48 = 23,138.98 : x
  2. Step 2: Convert to fraction form
    82,302.80/123,461.48 = 23,138.98/x
  3. Step 3: Cross multiply
    82,302.80x = 123,461.48 × 23,138.98
  4. Step 4: Simplify right side
    82,302.80x = 2,856,772,465.68
  5. Step 5: Solve for x
    x = 2,856,772,465.68/82,302.80
  6. Step 6: Final answer
    x = 34,710.52

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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.