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Finding the Fourth Proportional to 32,409.60, 48,614.40 and 32,204.80

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Solution

The fourth proportional to 32,409.60, 48,614.40 and 32,204.80 is: 48,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.60 : 48,614.40 = 32,204.80 : x
  2. Step 2: Convert to fraction form
    32,409.60/48,614.40 = 32,204.80/x
  3. Step 3: Cross multiply
    32,409.60x = 48,614.40 × 32,204.80
  4. Step 4: Simplify right side
    32,409.60x = 1,565,617,029.12
  5. Step 5: Solve for x
    x = 1,565,617,029.12/32,409.60
  6. Step 6: Final answer
    x = 48,307.20

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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.