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Finding the Fourth Proportional to 32,481, 48,580.74 and 19,122.17

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Solution

The fourth proportional to 32,481, 48,580.74 and 19,122.17 is: 28,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481 : 48,580.74 = 19,122.17 : x
  2. Step 2: Convert to fraction form
    32,481/48,580.74 = 19,122.17/x
  3. Step 3: Cross multiply
    32,481x = 48,580.74 × 19,122.17
  4. Step 4: Simplify right side
    32,481x = 928,968,926.10
  5. Step 5: Solve for x
    x = 928,968,926.10/32,481
  6. Step 6: Final answer
    x = 28,600.38

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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.