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Finding the Fourth Proportional to 75,894.40, 113,854.80 and 31,496.80

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Solution

The fourth proportional to 75,894.40, 113,854.80 and 31,496.80 is: 47,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894.40 : 113,854.80 = 31,496.80 : x
  2. Step 2: Convert to fraction form
    75,894.40/113,854.80 = 31,496.80/x
  3. Step 3: Cross multiply
    75,894.40x = 113,854.80 × 31,496.80
  4. Step 4: Simplify right side
    75,894.40x = 3,586,061,864.64
  5. Step 5: Solve for x
    x = 3,586,061,864.64/75,894.40
  6. Step 6: Final answer
    x = 47,250.68

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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.