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Finding the Fourth Proportional to 77,065.98, 106,304.31 and 53,150.46

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Solution

The fourth proportional to 77,065.98, 106,304.31 and 53,150.46 is: 73,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,065.98 : 106,304.31 = 53,150.46 : x
  2. Step 2: Convert to fraction form
    77,065.98/106,304.31 = 53,150.46/x
  3. Step 3: Cross multiply
    77,065.98x = 106,304.31 × 53,150.46
  4. Step 4: Simplify right side
    77,065.98x = 5,650,122,976.48
  5. Step 5: Solve for x
    x = 5,650,122,976.48/77,065.98
  6. Step 6: Final answer
    x = 73,315.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.