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Finding the Fourth Proportional to 85,411.54, 117,867.90 and 47,685.76

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Solution

The fourth proportional to 85,411.54, 117,867.90 and 47,685.76 is: 65,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,411.54 : 117,867.90 = 47,685.76 : x
  2. Step 2: Convert to fraction form
    85,411.54/117,867.90 = 47,685.76/x
  3. Step 3: Cross multiply
    85,411.54x = 117,867.90 × 47,685.76
  4. Step 4: Simplify right side
    85,411.54x = 5,620,620,391.10
  5. Step 5: Solve for x
    x = 5,620,620,391.10/85,411.54
  6. Step 6: Final answer
    x = 65,806.33

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1.5x scale

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.