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Finding the Fourth Proportional to 61,071.88, 91,472.46 and 46,927.78

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Solution

The fourth proportional to 61,071.88, 91,472.46 and 46,927.78 is: 70,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,071.88 : 91,472.46 = 46,927.78 : x
  2. Step 2: Convert to fraction form
    61,071.88/91,472.46 = 46,927.78/x
  3. Step 3: Cross multiply
    61,071.88x = 91,472.46 × 46,927.78
  4. Step 4: Simplify right side
    61,071.88x = 4,292,599,478.94
  5. Step 5: Solve for x
    x = 4,292,599,478.94/61,071.88
  6. Step 6: Final answer
    x = 70,287.66

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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.