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Finding the Fourth Proportional to 32,251, 48,357.70 and 12,506.50

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Solution

The fourth proportional to 32,251, 48,357.70 and 12,506.50 is: 18,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,251 : 48,357.70 = 12,506.50 : x
  2. Step 2: Convert to fraction form
    32,251/48,357.70 = 12,506.50/x
  3. Step 3: Cross multiply
    32,251x = 48,357.70 × 12,506.50
  4. Step 4: Simplify right side
    32,251x = 604,785,575.05
  5. Step 5: Solve for x
    x = 604,785,575.05/32,251
  6. Step 6: Final answer
    x = 18,752.46

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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.