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Finding the Fourth Proportional to 32,250, 48,356.20 and 12,505.49

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Solution

The fourth proportional to 32,250, 48,356.20 and 12,505.49 is: 18,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,250 : 48,356.20 = 12,505.49 : x
  2. Step 2: Convert to fraction form
    32,250/48,356.20 = 12,505.49/x
  3. Step 3: Cross multiply
    32,250x = 48,356.20 × 12,505.49
  4. Step 4: Simplify right side
    32,250x = 604,717,975.54
  5. Step 5: Solve for x
    x = 604,717,975.54/32,250
  6. Step 6: Final answer
    x = 18,750.94

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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.