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Finding the Fourth Proportional to 77,347.40, 115,934.70 and 44,083.40

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Solution

The fourth proportional to 77,347.40, 115,934.70 and 44,083.40 is: 66,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,347.40 : 115,934.70 = 44,083.40 : x
  2. Step 2: Convert to fraction form
    77,347.40/115,934.70 = 44,083.40/x
  3. Step 3: Cross multiply
    77,347.40x = 115,934.70 × 44,083.40
  4. Step 4: Simplify right side
    77,347.40x = 5,110,795,753.98
  5. Step 5: Solve for x
    x = 5,110,795,753.98/77,347.40
  6. Step 6: Final answer
    x = 66,075.86

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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.