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Finding the Fourth Proportional to 77,359.73, 115,796.93 and 53,203.10

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Solution

The fourth proportional to 77,359.73, 115,796.93 and 53,203.10 is: 79,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,359.73 : 115,796.93 = 53,203.10 : x
  2. Step 2: Convert to fraction form
    77,359.73/115,796.93 = 53,203.10/x
  3. Step 3: Cross multiply
    77,359.73x = 115,796.93 × 53,203.10
  4. Step 4: Simplify right side
    77,359.73x = 6,160,754,801.48
  5. Step 5: Solve for x
    x = 6,160,754,801.48/77,359.73
  6. Step 6: Final answer
    x = 79,637.75

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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.