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Finding the Fourth Proportional to 65,171.52, 97,822.08 and 30,119.04

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Solution

The fourth proportional to 65,171.52, 97,822.08 and 30,119.04 is: 45,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,171.52 : 97,822.08 = 30,119.04 : x
  2. Step 2: Convert to fraction form
    65,171.52/97,822.08 = 30,119.04/x
  3. Step 3: Cross multiply
    65,171.52x = 97,822.08 × 30,119.04
  4. Step 4: Simplify right side
    65,171.52x = 2,946,307,140.40
  5. Step 5: Solve for x
    x = 2,946,307,140.40/65,171.52
  6. Step 6: Final answer
    x = 45,208.51

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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.