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Finding the Fourth Proportional to 32,150, 48,211.48 and 12,156.13

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Solution

The fourth proportional to 32,150, 48,211.48 and 12,156.13 is: 18,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150 : 48,211.48 = 12,156.13 : x
  2. Step 2: Convert to fraction form
    32,150/48,211.48 = 12,156.13/x
  3. Step 3: Cross multiply
    32,150x = 48,211.48 × 12,156.13
  4. Step 4: Simplify right side
    32,150x = 586,065,018.37
  5. Step 5: Solve for x
    x = 586,065,018.37/32,150
  6. Step 6: Final answer
    x = 18,229.08

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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.