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Finding the Fourth Proportional to 32,681.96, 49,000.26 and 17,897.84

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Solution

The fourth proportional to 32,681.96, 49,000.26 and 17,897.84 is: 26,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,681.96 : 49,000.26 = 17,897.84 : x
  2. Step 2: Convert to fraction form
    32,681.96/49,000.26 = 17,897.84/x
  3. Step 3: Cross multiply
    32,681.96x = 49,000.26 × 17,897.84
  4. Step 4: Simplify right side
    32,681.96x = 876,998,813.44
  5. Step 5: Solve for x
    x = 876,998,813.44/32,681.96
  6. Step 6: Final answer
    x = 26,834.34

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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.