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Finding the Fourth Proportional to 60,931.76, 84,082.34 and 33,706.22

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Solution

The fourth proportional to 60,931.76, 84,082.34 and 33,706.22 is: 46,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,931.76 : 84,082.34 = 33,706.22 : x
  2. Step 2: Convert to fraction form
    60,931.76/84,082.34 = 33,706.22/x
  3. Step 3: Cross multiply
    60,931.76x = 84,082.34 × 33,706.22
  4. Step 4: Simplify right side
    60,931.76x = 2,834,097,850.15
  5. Step 5: Solve for x
    x = 2,834,097,850.15/60,931.76
  6. Step 6: Final answer
    x = 46,512.65

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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.