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Finding the Fourth Proportional to 75,315, 112,863.50 and 41,587.64

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Solution

The fourth proportional to 75,315, 112,863.50 and 41,587.64 is: 62,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,315 : 112,863.50 = 41,587.64 : x
  2. Step 2: Convert to fraction form
    75,315/112,863.50 = 41,587.64/x
  3. Step 3: Cross multiply
    75,315x = 112,863.50 × 41,587.64
  4. Step 4: Simplify right side
    75,315x = 4,693,726,607.14
  5. Step 5: Solve for x
    x = 4,693,726,607.14/75,315
  6. Step 6: Final answer
    x = 62,321.27

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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.