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Finding the Fourth Proportional to 35,897.82, 53,869.77 and 17,419.74

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Solution

The fourth proportional to 35,897.82, 53,869.77 and 17,419.74 is: 26,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.82 : 53,869.77 = 17,419.74 : x
  2. Step 2: Convert to fraction form
    35,897.82/53,869.77 = 17,419.74/x
  3. Step 3: Cross multiply
    35,897.82x = 53,869.77 × 17,419.74
  4. Step 4: Simplify right side
    35,897.82x = 938,397,387.26
  5. Step 5: Solve for x
    x = 938,397,387.26/35,897.82
  6. Step 6: Final answer
    x = 26,140.79

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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.