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Finding the Fourth Proportional to 60,754.61, 83,841.10 and 33,897.14

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Solution

The fourth proportional to 60,754.61, 83,841.10 and 33,897.14 is: 46,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,754.61 : 83,841.10 = 33,897.14 : x
  2. Step 2: Convert to fraction form
    60,754.61/83,841.10 = 33,897.14/x
  3. Step 3: Cross multiply
    60,754.61x = 83,841.10 × 33,897.14
  4. Step 4: Simplify right side
    60,754.61x = 2,841,973,504.45
  5. Step 5: Solve for x
    x = 2,841,973,504.45/60,754.61
  6. Step 6: Final answer
    x = 46,777.91

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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.