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Finding the Fourth Proportional to 61,076.75, 91,509.93 and 47,744.55

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Solution

The fourth proportional to 61,076.75, 91,509.93 and 47,744.55 is: 71,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,076.75 : 91,509.93 = 47,744.55 : x
  2. Step 2: Convert to fraction form
    61,076.75/91,509.93 = 47,744.55/x
  3. Step 3: Cross multiply
    61,076.75x = 91,509.93 × 47,744.55
  4. Step 4: Simplify right side
    61,076.75x = 4,369,100,428.38
  5. Step 5: Solve for x
    x = 4,369,100,428.38/61,076.75
  6. Step 6: Final answer
    x = 71,534.60

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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.