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Finding the Fourth Proportional to 32,859.20, 49,288.80 and 9,486.40

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Solution

The fourth proportional to 32,859.20, 49,288.80 and 9,486.40 is: 14,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,859.20 : 49,288.80 = 9,486.40 : x
  2. Step 2: Convert to fraction form
    32,859.20/49,288.80 = 9,486.40/x
  3. Step 3: Cross multiply
    32,859.20x = 49,288.80 × 9,486.40
  4. Step 4: Simplify right side
    32,859.20x = 467,573,272.32
  5. Step 5: Solve for x
    x = 467,573,272.32/32,859.20
  6. Step 6: Final answer
    x = 14,229.60

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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.