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Finding the Fourth Proportional to 32,114.20, 48,174.90 and 9,927.40

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Solution

The fourth proportional to 32,114.20, 48,174.90 and 9,927.40 is: 14,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.20 : 48,174.90 = 9,927.40 : x
  2. Step 2: Convert to fraction form
    32,114.20/48,174.90 = 9,927.40/x
  3. Step 3: Cross multiply
    32,114.20x = 48,174.90 × 9,927.40
  4. Step 4: Simplify right side
    32,114.20x = 478,251,502.26
  5. Step 5: Solve for x
    x = 478,251,502.26/32,114.20
  6. Step 6: Final answer
    x = 14,892.21

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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.