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Finding the Fourth Proportional to 83,059, 124,588.52 and 27,655

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Solution

The fourth proportional to 83,059, 124,588.52 and 27,655 is: 41,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,059 : 124,588.52 = 27,655 : x
  2. Step 2: Convert to fraction form
    83,059/124,588.52 = 27,655/x
  3. Step 3: Cross multiply
    83,059x = 124,588.52 × 27,655
  4. Step 4: Simplify right side
    83,059x = 3,445,495,520.60
  5. Step 5: Solve for x
    x = 3,445,495,520.60/83,059
  6. Step 6: Final answer
    x = 41,482.51

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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.