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Finding the Fourth Proportional to 32,088, 48,151.44 and 13,620

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Solution

The fourth proportional to 32,088, 48,151.44 and 13,620 is: 20,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,088 : 48,151.44 = 13,620 : x
  2. Step 2: Convert to fraction form
    32,088/48,151.44 = 13,620/x
  3. Step 3: Cross multiply
    32,088x = 48,151.44 × 13,620
  4. Step 4: Simplify right side
    32,088x = 655,822,612.80
  5. Step 5: Solve for x
    x = 655,822,612.80/32,088
  6. Step 6: Final answer
    x = 20,438.25

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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.