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Finding the Fourth Proportional to 65,522.53, 98,321.88 and 27,569.02

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Solution

The fourth proportional to 65,522.53, 98,321.88 and 27,569.02 is: 41,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,522.53 : 98,321.88 = 27,569.02 : x
  2. Step 2: Convert to fraction form
    65,522.53/98,321.88 = 27,569.02/x
  3. Step 3: Cross multiply
    65,522.53x = 98,321.88 × 27,569.02
  4. Step 4: Simplify right side
    65,522.53x = 2,710,637,876.16
  5. Step 5: Solve for x
    x = 2,710,637,876.16/65,522.53
  6. Step 6: Final answer
    x = 41,369.55

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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.