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Finding the Fourth Proportional to 32,924.70, 49,387.05 and 14,456.70

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Solution

The fourth proportional to 32,924.70, 49,387.05 and 14,456.70 is: 21,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.70 : 49,387.05 = 14,456.70 : x
  2. Step 2: Convert to fraction form
    32,924.70/49,387.05 = 14,456.70/x
  3. Step 3: Cross multiply
    32,924.70x = 49,387.05 × 14,456.70
  4. Step 4: Simplify right side
    32,924.70x = 713,973,765.74
  5. Step 5: Solve for x
    x = 713,973,765.74/32,924.70
  6. Step 6: Final answer
    x = 21,685.05

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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.