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Finding the Fourth Proportional to 60,519, 83,516.22 and 34,023

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Solution

The fourth proportional to 60,519, 83,516.22 and 34,023 is: 46,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,519 : 83,516.22 = 34,023 : x
  2. Step 2: Convert to fraction form
    60,519/83,516.22 = 34,023/x
  3. Step 3: Cross multiply
    60,519x = 83,516.22 × 34,023
  4. Step 4: Simplify right side
    60,519x = 2,841,472,353.06
  5. Step 5: Solve for x
    x = 2,841,472,353.06/60,519
  6. Step 6: Final answer
    x = 46,951.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.