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Finding the Fourth Proportional to 65,292.84, 97,801.02 and 54,173.16

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Solution

The fourth proportional to 65,292.84, 97,801.02 and 54,173.16 is: 81,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,292.84 : 97,801.02 = 54,173.16 : x
  2. Step 2: Convert to fraction form
    65,292.84/97,801.02 = 54,173.16/x
  3. Step 3: Cross multiply
    65,292.84x = 97,801.02 × 54,173.16
  4. Step 4: Simplify right side
    65,292.84x = 5,298,190,304.62
  5. Step 5: Solve for x
    x = 5,298,190,304.62/65,292.84
  6. Step 6: Final answer
    x = 81,145.04

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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.