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Finding the Fourth Proportional to 32,584.40, 48,862.20 and 12,856.40

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Solution

The fourth proportional to 32,584.40, 48,862.20 and 12,856.40 is: 19,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,584.40 : 48,862.20 = 12,856.40 : x
  2. Step 2: Convert to fraction form
    32,584.40/48,862.20 = 12,856.40/x
  3. Step 3: Cross multiply
    32,584.40x = 48,862.20 × 12,856.40
  4. Step 4: Simplify right side
    32,584.40x = 628,191,988.08
  5. Step 5: Solve for x
    x = 628,191,988.08/32,584.40
  6. Step 6: Final answer
    x = 19,278.92

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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.