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Finding the Fourth Proportional to 82,953, 124,429.50 and 27,549

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Solution

The fourth proportional to 82,953, 124,429.50 and 27,549 is: 41,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,953 : 124,429.50 = 27,549 : x
  2. Step 2: Convert to fraction form
    82,953/124,429.50 = 27,549/x
  3. Step 3: Cross multiply
    82,953x = 124,429.50 × 27,549
  4. Step 4: Simplify right side
    82,953x = 3,427,908,295.50
  5. Step 5: Solve for x
    x = 3,427,908,295.50/82,953
  6. Step 6: Final answer
    x = 41,323.50

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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.