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Finding the Fourth Proportional to 32,802.69, 49,191.96 and 11,737.02

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Solution

The fourth proportional to 32,802.69, 49,191.96 and 11,737.02 is: 17,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802.69 : 49,191.96 = 11,737.02 : x
  2. Step 2: Convert to fraction form
    32,802.69/49,191.96 = 11,737.02/x
  3. Step 3: Cross multiply
    32,802.69x = 49,191.96 × 11,737.02
  4. Step 4: Simplify right side
    32,802.69x = 577,367,018.36
  5. Step 5: Solve for x
    x = 577,367,018.36/32,802.69
  6. Step 6: Final answer
    x = 17,601.21

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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.