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Finding the Fourth Proportional to 76,215.57, 105,177.57 and 42,681.57

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Solution

The fourth proportional to 76,215.57, 105,177.57 and 42,681.57 is: 58,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,215.57 : 105,177.57 = 42,681.57 : x
  2. Step 2: Convert to fraction form
    76,215.57/105,177.57 = 42,681.57/x
  3. Step 3: Cross multiply
    76,215.57x = 105,177.57 × 42,681.57
  4. Step 4: Simplify right side
    76,215.57x = 4,489,143,816.38
  5. Step 5: Solve for x
    x = 4,489,143,816.38/76,215.57
  6. Step 6: Final answer
    x = 58,900.61

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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.