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Finding the Fourth Proportional to 32,378.67, 48,568.10 and 9,005.13

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Solution

The fourth proportional to 32,378.67, 48,568.10 and 9,005.13 is: 13,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.67 : 48,568.10 = 9,005.13 : x
  2. Step 2: Convert to fraction form
    32,378.67/48,568.10 = 9,005.13/x
  3. Step 3: Cross multiply
    32,378.67x = 48,568.10 × 9,005.13
  4. Step 4: Simplify right side
    32,378.67x = 437,362,009.33
  5. Step 5: Solve for x
    x = 437,362,009.33/32,378.67
  6. Step 6: Final answer
    x = 13,507.72

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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.