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Finding the Fourth Proportional to 77,858.41, 116,360.97 and 56,842.71

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Solution

The fourth proportional to 77,858.41, 116,360.97 and 56,842.71 is: 84,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858.41 : 116,360.97 = 56,842.71 : x
  2. Step 2: Convert to fraction form
    77,858.41/116,360.97 = 56,842.71/x
  3. Step 3: Cross multiply
    77,858.41x = 116,360.97 × 56,842.71
  4. Step 4: Simplify right side
    77,858.41x = 6,614,272,710.65
  5. Step 5: Solve for x
    x = 6,614,272,710.65/77,858.41
  6. Step 6: Final answer
    x = 84,952.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.