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Finding the Fourth Proportional to 77,032.87, 106,302.02 and 48,367.38

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Solution

The fourth proportional to 77,032.87, 106,302.02 and 48,367.38 is: 66,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,032.87 : 106,302.02 = 48,367.38 : x
  2. Step 2: Convert to fraction form
    77,032.87/106,302.02 = 48,367.38/x
  3. Step 3: Cross multiply
    77,032.87x = 106,302.02 × 48,367.38
  4. Step 4: Simplify right side
    77,032.87x = 5,141,550,027.02
  5. Step 5: Solve for x
    x = 5,141,550,027.02/77,032.87
  6. Step 6: Final answer
    x = 66,744.88

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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.