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Finding the Fourth Proportional to 77,584.84, 107,060.42 and 43,590.65

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Solution

The fourth proportional to 77,584.84, 107,060.42 and 43,590.65 is: 60,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,584.84 : 107,060.42 = 43,590.65 : x
  2. Step 2: Convert to fraction form
    77,584.84/107,060.42 = 43,590.65/x
  3. Step 3: Cross multiply
    77,584.84x = 107,060.42 × 43,590.65
  4. Step 4: Simplify right side
    77,584.84x = 4,666,832,870.75
  5. Step 5: Solve for x
    x = 4,666,832,870.75/77,584.84
  6. Step 6: Final answer
    x = 60,151.35

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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.