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Finding the Fourth Proportional to 77,351.33, 106,724.25 and 44,637.45

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Solution

The fourth proportional to 77,351.33, 106,724.25 and 44,637.45 is: 61,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,351.33 : 106,724.25 = 44,637.45 : x
  2. Step 2: Convert to fraction form
    77,351.33/106,724.25 = 44,637.45/x
  3. Step 3: Cross multiply
    77,351.33x = 106,724.25 × 44,637.45
  4. Step 4: Simplify right side
    77,351.33x = 4,763,898,373.16
  5. Step 5: Solve for x
    x = 4,763,898,373.16/77,351.33
  6. Step 6: Final answer
    x = 61,587.81

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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.