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Finding the Fourth Proportional to 61,754.27, 85,225.10 and 37,564.70

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Solution

The fourth proportional to 61,754.27, 85,225.10 and 37,564.70 is: 51,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,754.27 : 85,225.10 = 37,564.70 : x
  2. Step 2: Convert to fraction form
    61,754.27/85,225.10 = 37,564.70/x
  3. Step 3: Cross multiply
    61,754.27x = 85,225.10 × 37,564.70
  4. Step 4: Simplify right side
    61,754.27x = 3,201,454,700.02
  5. Step 5: Solve for x
    x = 3,201,454,700.02/61,754.27
  6. Step 6: Final answer
    x = 51,841.84

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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.