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Finding the Fourth Proportional to 32,657.79, 49,008.53 and 11,881.29

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Solution

The fourth proportional to 32,657.79, 49,008.53 and 11,881.29 is: 17,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.79 : 49,008.53 = 11,881.29 : x
  2. Step 2: Convert to fraction form
    32,657.79/49,008.53 = 11,881.29/x
  3. Step 3: Cross multiply
    32,657.79x = 49,008.53 × 11,881.29
  4. Step 4: Simplify right side
    32,657.79x = 582,284,557.40
  5. Step 5: Solve for x
    x = 582,284,557.40/32,657.79
  6. Step 6: Final answer
    x = 17,829.88

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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.