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Finding the Fourth Proportional to 32,432.80, 48,643.20 and 9,054.40

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Solution

The fourth proportional to 32,432.80, 48,643.20 and 9,054.40 is: 13,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,432.80 : 48,643.20 = 9,054.40 : x
  2. Step 2: Convert to fraction form
    32,432.80/48,643.20 = 9,054.40/x
  3. Step 3: Cross multiply
    32,432.80x = 48,643.20 × 9,054.40
  4. Step 4: Simplify right side
    32,432.80x = 440,434,990.08
  5. Step 5: Solve for x
    x = 440,434,990.08/32,432.80
  6. Step 6: Final answer
    x = 13,579.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.