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Finding the Fourth Proportional to 32,362.80, 48,544.13 and 10,178.12

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Solution

The fourth proportional to 32,362.80, 48,544.13 and 10,178.12 is: 15,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,362.80 : 48,544.13 = 10,178.12 : x
  2. Step 2: Convert to fraction form
    32,362.80/48,544.13 = 10,178.12/x
  3. Step 3: Cross multiply
    32,362.80x = 48,544.13 × 10,178.12
  4. Step 4: Simplify right side
    32,362.80x = 494,087,980.44
  5. Step 5: Solve for x
    x = 494,087,980.44/32,362.80
  6. Step 6: Final answer
    x = 15,267.16

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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.