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Finding the Fourth Proportional to 75,875.76, 113,835.60 and 31,494.24

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Solution

The fourth proportional to 75,875.76, 113,835.60 and 31,494.24 is: 47,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,875.76 : 113,835.60 = 31,494.24 : x
  2. Step 2: Convert to fraction form
    75,875.76/113,835.60 = 31,494.24/x
  3. Step 3: Cross multiply
    75,875.76x = 113,835.60 × 31,494.24
  4. Step 4: Simplify right side
    75,875.76x = 3,585,165,706.94
  5. Step 5: Solve for x
    x = 3,585,165,706.94/75,875.76
  6. Step 6: Final answer
    x = 47,250.48

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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.