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Finding the Fourth Proportional to 89,762.88, 123,827.22 and 68,505.24

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Solution

The fourth proportional to 89,762.88, 123,827.22 and 68,505.24 is: 94,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,762.88 : 123,827.22 = 68,505.24 : x
  2. Step 2: Convert to fraction form
    89,762.88/123,827.22 = 68,505.24/x
  3. Step 3: Cross multiply
    89,762.88x = 123,827.22 × 68,505.24
  4. Step 4: Simplify right side
    89,762.88x = 8,482,813,424.63
  5. Step 5: Solve for x
    x = 8,482,813,424.63/89,762.88
  6. Step 6: Final answer
    x = 94,502.46

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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.