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Finding the Fourth Proportional to 61,003.84, 91,563.54 and 31,442.08

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Solution

The fourth proportional to 61,003.84, 91,563.54 and 31,442.08 is: 47,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,003.84 : 91,563.54 = 31,442.08 : x
  2. Step 2: Convert to fraction form
    61,003.84/91,563.54 = 31,442.08/x
  3. Step 3: Cross multiply
    61,003.84x = 91,563.54 × 31,442.08
  4. Step 4: Simplify right side
    61,003.84x = 2,878,948,149.76
  5. Step 5: Solve for x
    x = 2,878,948,149.76/61,003.84
  6. Step 6: Final answer
    x = 47,192.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.