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Finding the Fourth Proportional to 32,334.96, 48,486 and 14,789.75

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Solution

The fourth proportional to 32,334.96, 48,486 and 14,789.75 is: 22,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,334.96 : 48,486 = 14,789.75 : x
  2. Step 2: Convert to fraction form
    32,334.96/48,486 = 14,789.75/x
  3. Step 3: Cross multiply
    32,334.96x = 48,486 × 14,789.75
  4. Step 4: Simplify right side
    32,334.96x = 717,095,818.50
  5. Step 5: Solve for x
    x = 717,095,818.50/32,334.96
  6. Step 6: Final answer
    x = 22,177.11

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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.