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Finding the Fourth Proportional to 61,147.76, 91,703.80 and 23,699.48

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Solution

The fourth proportional to 61,147.76, 91,703.80 and 23,699.48 is: 35,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,147.76 : 91,703.80 = 23,699.48 : x
  2. Step 2: Convert to fraction form
    61,147.76/91,703.80 = 23,699.48/x
  3. Step 3: Cross multiply
    61,147.76x = 91,703.80 × 23,699.48
  4. Step 4: Simplify right side
    61,147.76x = 2,173,332,374.02
  5. Step 5: Solve for x
    x = 2,173,332,374.02/61,147.76
  6. Step 6: Final answer
    x = 35,542.31

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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.