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Finding the Fourth Proportional to 77,196.56, 106,535.95 and 43,204.35

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Solution

The fourth proportional to 77,196.56, 106,535.95 and 43,204.35 is: 59,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,196.56 : 106,535.95 = 43,204.35 : x
  2. Step 2: Convert to fraction form
    77,196.56/106,535.95 = 43,204.35/x
  3. Step 3: Cross multiply
    77,196.56x = 106,535.95 × 43,204.35
  4. Step 4: Simplify right side
    77,196.56x = 4,602,816,471.38
  5. Step 5: Solve for x
    x = 4,602,816,471.38/77,196.56
  6. Step 6: Final answer
    x = 59,624.63

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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.