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Finding the Fourth Proportional to 65,058.14, 89,775.22 and 39,561.01

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Solution

The fourth proportional to 65,058.14, 89,775.22 and 39,561.01 is: 54,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,058.14 : 89,775.22 = 39,561.01 : x
  2. Step 2: Convert to fraction form
    65,058.14/89,775.22 = 39,561.01/x
  3. Step 3: Cross multiply
    65,058.14x = 89,775.22 × 39,561.01
  4. Step 4: Simplify right side
    65,058.14x = 3,551,598,376.17
  5. Step 5: Solve for x
    x = 3,551,598,376.17/65,058.14
  6. Step 6: Final answer
    x = 54,591.15

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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.