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Finding the Fourth Proportional to 77,257.64, 106,568.97 and 45,400.34

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Solution

The fourth proportional to 77,257.64, 106,568.97 and 45,400.34 is: 62,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,257.64 : 106,568.97 = 45,400.34 : x
  2. Step 2: Convert to fraction form
    77,257.64/106,568.97 = 45,400.34/x
  3. Step 3: Cross multiply
    77,257.64x = 106,568.97 × 45,400.34
  4. Step 4: Simplify right side
    77,257.64x = 4,838,266,938.60
  5. Step 5: Solve for x
    x = 4,838,266,938.60/77,257.64
  6. Step 6: Final answer
    x = 62,625.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.