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Finding the Fourth Proportional to 32,482.23, 48,723.46 and 9,992.75

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Solution

The fourth proportional to 32,482.23, 48,723.46 and 9,992.75 is: 14,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.23 : 48,723.46 = 9,992.75 : x
  2. Step 2: Convert to fraction form
    32,482.23/48,723.46 = 9,992.75/x
  3. Step 3: Cross multiply
    32,482.23x = 48,723.46 × 9,992.75
  4. Step 4: Simplify right side
    32,482.23x = 486,881,354.92
  5. Step 5: Solve for x
    x = 486,881,354.92/32,482.23
  6. Step 6: Final answer
    x = 14,989.16

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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.