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Finding the Fourth Proportional to 32,114.40, 48,193.20 and 14,575.20

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Solution

The fourth proportional to 32,114.40, 48,193.20 and 14,575.20 is: 21,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.40 : 48,193.20 = 14,575.20 : x
  2. Step 2: Convert to fraction form
    32,114.40/48,193.20 = 14,575.20/x
  3. Step 3: Cross multiply
    32,114.40x = 48,193.20 × 14,575.20
  4. Step 4: Simplify right side
    32,114.40x = 702,425,528.64
  5. Step 5: Solve for x
    x = 702,425,528.64/32,114.40
  6. Step 6: Final answer
    x = 21,872.60

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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.