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Finding the Fourth Proportional to 77,193.59, 106,529.06 and 43,201.81

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Solution

The fourth proportional to 77,193.59, 106,529.06 and 43,201.81 is: 59,619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,193.59 : 106,529.06 = 43,201.81 : x
  2. Step 2: Convert to fraction form
    77,193.59/106,529.06 = 43,201.81/x
  3. Step 3: Cross multiply
    77,193.59x = 106,529.06 × 43,201.81
  4. Step 4: Simplify right side
    77,193.59x = 4,602,248,209.60
  5. Step 5: Solve for x
    x = 4,602,248,209.60/77,193.59
  6. Step 6: Final answer
    x = 59,619.56

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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.