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Finding the Fourth Proportional to 105,785.56, 158,684.82 and 34,712.92

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Solution

The fourth proportional to 105,785.56, 158,684.82 and 34,712.92 is: 52,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,785.56 : 158,684.82 = 34,712.92 : x
  2. Step 2: Convert to fraction form
    105,785.56/158,684.82 = 34,712.92/x
  3. Step 3: Cross multiply
    105,785.56x = 158,684.82 × 34,712.92
  4. Step 4: Simplify right side
    105,785.56x = 5,508,413,461.87
  5. Step 5: Solve for x
    x = 5,508,413,461.87/105,785.56
  6. Step 6: Final answer
    x = 52,071.51

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1.5x scale

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.