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Finding the Fourth Proportional to 61,561, 84,954.18 and 35,065

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Solution

The fourth proportional to 61,561, 84,954.18 and 35,065 is: 48,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,561 : 84,954.18 = 35,065 : x
  2. Step 2: Convert to fraction form
    61,561/84,954.18 = 35,065/x
  3. Step 3: Cross multiply
    61,561x = 84,954.18 × 35,065
  4. Step 4: Simplify right side
    61,561x = 2,978,918,321.70
  5. Step 5: Solve for x
    x = 2,978,918,321.70/61,561
  6. Step 6: Final answer
    x = 48,389.70

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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.