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Finding the Fourth Proportional to 61,102.52, 84,326.91 and 35,607.50

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Solution

The fourth proportional to 61,102.52, 84,326.91 and 35,607.50 is: 49,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,102.52 : 84,326.91 = 35,607.50 : x
  2. Step 2: Convert to fraction form
    61,102.52/84,326.91 = 35,607.50/x
  3. Step 3: Cross multiply
    61,102.52x = 84,326.91 × 35,607.50
  4. Step 4: Simplify right side
    61,102.52x = 3,002,670,447.83
  5. Step 5: Solve for x
    x = 3,002,670,447.83/61,102.52
  6. Step 6: Final answer
    x = 49,141.52

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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.