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Finding the Fourth Proportional to 61,022.61, 84,205.85 and 35,867.25

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Solution

The fourth proportional to 61,022.61, 84,205.85 and 35,867.25 is: 49,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,022.61 : 84,205.85 = 35,867.25 : x
  2. Step 2: Convert to fraction form
    61,022.61/84,205.85 = 35,867.25/x
  3. Step 3: Cross multiply
    61,022.61x = 84,205.85 × 35,867.25
  4. Step 4: Simplify right side
    61,022.61x = 3,020,232,094.08
  5. Step 5: Solve for x
    x = 3,020,232,094.08/61,022.61
  6. Step 6: Final answer
    x = 49,493.66

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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.