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Finding the Fourth Proportional to 32,124.40, 48,169.32 and 9,928.24

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Solution

The fourth proportional to 32,124.40, 48,169.32 and 9,928.24 is: 14,887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124.40 : 48,169.32 = 9,928.24 : x
  2. Step 2: Convert to fraction form
    32,124.40/48,169.32 = 9,928.24/x
  3. Step 3: Cross multiply
    32,124.40x = 48,169.32 × 9,928.24
  4. Step 4: Simplify right side
    32,124.40x = 478,236,569.60
  5. Step 5: Solve for x
    x = 478,236,569.60/32,124.40
  6. Step 6: Final answer
    x = 14,887.02

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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.