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Finding the Fourth Proportional to 77,573.38, 107,062.06 and 43,584.50

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Solution

The fourth proportional to 77,573.38, 107,062.06 and 43,584.50 is: 60,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,573.38 : 107,062.06 = 43,584.50 : x
  2. Step 2: Convert to fraction form
    77,573.38/107,062.06 = 43,584.50/x
  3. Step 3: Cross multiply
    77,573.38x = 107,062.06 × 43,584.50
  4. Step 4: Simplify right side
    77,573.38x = 4,666,246,354.07
  5. Step 5: Solve for x
    x = 4,666,246,354.07/77,573.38
  6. Step 6: Final answer
    x = 60,152.68

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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.