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Finding the Fourth Proportional to 32,197.50, 48,298.68 and 11,421

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Solution

The fourth proportional to 32,197.50, 48,298.68 and 11,421 is: 17,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.50 : 48,298.68 = 11,421 : x
  2. Step 2: Convert to fraction form
    32,197.50/48,298.68 = 11,421/x
  3. Step 3: Cross multiply
    32,197.50x = 48,298.68 × 11,421
  4. Step 4: Simplify right side
    32,197.50x = 551,619,224.28
  5. Step 5: Solve for x
    x = 551,619,224.28/32,197.50
  6. Step 6: Final answer
    x = 17,132.36

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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.