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Finding the Fourth Proportional to 34,897.75, 48,159.50 and 18,982.47

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Solution

The fourth proportional to 34,897.75, 48,159.50 and 18,982.47 is: 26,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,897.75 : 48,159.50 = 18,982.47 : x
  2. Step 2: Convert to fraction form
    34,897.75/48,159.50 = 18,982.47/x
  3. Step 3: Cross multiply
    34,897.75x = 48,159.50 × 18,982.47
  4. Step 4: Simplify right side
    34,897.75x = 914,186,263.97
  5. Step 5: Solve for x
    x = 914,186,263.97/34,897.75
  6. Step 6: Final answer
    x = 26,196.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.