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Finding the Fourth Proportional to 32,145.30, 48,217.95 and 9,965.48

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Solution

The fourth proportional to 32,145.30, 48,217.95 and 9,965.48 is: 14,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.30 : 48,217.95 = 9,965.48 : x
  2. Step 2: Convert to fraction form
    32,145.30/48,217.95 = 9,965.48/x
  3. Step 3: Cross multiply
    32,145.30x = 48,217.95 × 9,965.48
  4. Step 4: Simplify right side
    32,145.30x = 480,514,775.28
  5. Step 5: Solve for x
    x = 480,514,775.28/32,145.30
  6. Step 6: Final answer
    x = 14,948.21

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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.