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Finding the Fourth Proportional to 77,569.73, 107,052.68 and 45,744.83

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Solution

The fourth proportional to 77,569.73, 107,052.68 and 45,744.83 is: 63,131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,569.73 : 107,052.68 = 45,744.83 : x
  2. Step 2: Convert to fraction form
    77,569.73/107,052.68 = 45,744.83/x
  3. Step 3: Cross multiply
    77,569.73x = 107,052.68 × 45,744.83
  4. Step 4: Simplify right side
    77,569.73x = 4,897,106,647.64
  5. Step 5: Solve for x
    x = 4,897,106,647.64/77,569.73
  6. Step 6: Final answer
    x = 63,131.67

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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.