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Finding the Fourth Proportional to 107,710.75, 161,588 and 45,381.25

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Solution

The fourth proportional to 107,710.75, 161,588 and 45,381.25 is: 68,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,710.75 : 161,588 = 45,381.25 : x
  2. Step 2: Convert to fraction form
    107,710.75/161,588 = 45,381.25/x
  3. Step 3: Cross multiply
    107,710.75x = 161,588 × 45,381.25
  4. Step 4: Simplify right side
    107,710.75x = 7,333,065,425
  5. Step 5: Solve for x
    x = 7,333,065,425/107,710.75
  6. Step 6: Final answer
    x = 68,081.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.