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Finding the Fourth Proportional to 32,019.60, 48,038.04 and 9,832.56

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Solution

The fourth proportional to 32,019.60, 48,038.04 and 9,832.56 is: 14,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.60 : 48,038.04 = 9,832.56 : x
  2. Step 2: Convert to fraction form
    32,019.60/48,038.04 = 9,832.56/x
  3. Step 3: Cross multiply
    32,019.60x = 48,038.04 × 9,832.56
  4. Step 4: Simplify right side
    32,019.60x = 472,336,910.58
  5. Step 5: Solve for x
    x = 472,336,910.58/32,019.60
  6. Step 6: Final answer
    x = 14,751.49

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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.