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Finding the Fourth Proportional to 77,000.54, 106,254.74 and 44,729.82

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Solution

The fourth proportional to 77,000.54, 106,254.74 and 44,729.82 is: 61,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,000.54 : 106,254.74 = 44,729.82 : x
  2. Step 2: Convert to fraction form
    77,000.54/106,254.74 = 44,729.82/x
  3. Step 3: Cross multiply
    77,000.54x = 106,254.74 × 44,729.82
  4. Step 4: Simplify right side
    77,000.54x = 4,752,755,506.17
  5. Step 5: Solve for x
    x = 4,752,755,506.17/77,000.54
  6. Step 6: Final answer
    x = 61,723.66

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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.