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Finding the Fourth Proportional to 76,513.65, 105,585.44 and 42,524.52

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Solution

The fourth proportional to 76,513.65, 105,585.44 and 42,524.52 is: 58,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,513.65 : 105,585.44 = 42,524.52 : x
  2. Step 2: Convert to fraction form
    76,513.65/105,585.44 = 42,524.52/x
  3. Step 3: Cross multiply
    76,513.65x = 105,585.44 × 42,524.52
  4. Step 4: Simplify right side
    76,513.65x = 4,489,969,942.37
  5. Step 5: Solve for x
    x = 4,489,969,942.37/76,513.65
  6. Step 6: Final answer
    x = 58,681.95

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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.