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Finding the Fourth Proportional to 32,398, 48,602.13 and 11,337.54

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Solution

The fourth proportional to 32,398, 48,602.13 and 11,337.54 is: 17,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398 : 48,602.13 = 11,337.54 : x
  2. Step 2: Convert to fraction form
    32,398/48,602.13 = 11,337.54/x
  3. Step 3: Cross multiply
    32,398x = 48,602.13 × 11,337.54
  4. Step 4: Simplify right side
    32,398x = 551,028,592.96
  5. Step 5: Solve for x
    x = 551,028,592.96/32,398
  6. Step 6: Final answer
    x = 17,008.11

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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.