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Finding the Fourth Proportional to 32,241.60, 48,358.76 and 8,865

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Solution

The fourth proportional to 32,241.60, 48,358.76 and 8,865 is: 13,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,241.60 : 48,358.76 = 8,865 : x
  2. Step 2: Convert to fraction form
    32,241.60/48,358.76 = 8,865/x
  3. Step 3: Cross multiply
    32,241.60x = 48,358.76 × 8,865
  4. Step 4: Simplify right side
    32,241.60x = 428,700,363.08
  5. Step 5: Solve for x
    x = 428,700,363.08/32,241.60
  6. Step 6: Final answer
    x = 13,296.50

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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.