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Finding the Fourth Proportional to 65,235.84, 89,963.52 and 43,774.08

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Solution

The fourth proportional to 65,235.84, 89,963.52 and 43,774.08 is: 60,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,235.84 : 89,963.52 = 43,774.08 : x
  2. Step 2: Convert to fraction form
    65,235.84/89,963.52 = 43,774.08/x
  3. Step 3: Cross multiply
    65,235.84x = 89,963.52 × 43,774.08
  4. Step 4: Simplify right side
    65,235.84x = 3,938,070,321.56
  5. Step 5: Solve for x
    x = 3,938,070,321.56/65,235.84
  6. Step 6: Final answer
    x = 60,366.67

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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.