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Finding the Fourth Proportional to 65,087.90, 97,612.71 and 27,647.68

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Solution

The fourth proportional to 65,087.90, 97,612.71 and 27,647.68 is: 41,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,087.90 : 97,612.71 = 27,647.68 : x
  2. Step 2: Convert to fraction form
    65,087.90/97,612.71 = 27,647.68/x
  3. Step 3: Cross multiply
    65,087.90x = 97,612.71 × 27,647.68
  4. Step 4: Simplify right side
    65,087.90x = 2,698,764,343.71
  5. Step 5: Solve for x
    x = 2,698,764,343.71/65,087.90
  6. Step 6: Final answer
    x = 41,463.38

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Why These Related Problems?

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