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Finding the Fourth Proportional to 64,838.31, 97,082.10 and 33,607.95

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Solution

The fourth proportional to 64,838.31, 97,082.10 and 33,607.95 is: 50,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,838.31 : 97,082.10 = 33,607.95 : x
  2. Step 2: Convert to fraction form
    64,838.31/97,082.10 = 33,607.95/x
  3. Step 3: Cross multiply
    64,838.31x = 97,082.10 × 33,607.95
  4. Step 4: Simplify right side
    64,838.31x = 3,262,730,362.70
  5. Step 5: Solve for x
    x = 3,262,730,362.70/64,838.31
  6. Step 6: Final answer
    x = 50,321.03

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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.