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Finding the Fourth Proportional to 85,954.60, 128,854.14 and 30,537.64

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Solution

The fourth proportional to 85,954.60, 128,854.14 and 30,537.64 is: 45,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,954.60 : 128,854.14 = 30,537.64 : x
  2. Step 2: Convert to fraction form
    85,954.60/128,854.14 = 30,537.64/x
  3. Step 3: Cross multiply
    85,954.60x = 128,854.14 × 30,537.64
  4. Step 4: Simplify right side
    85,954.60x = 3,934,901,339.83
  5. Step 5: Solve for x
    x = 3,934,901,339.83/85,954.60
  6. Step 6: Final answer
    x = 45,778.83

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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.