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Finding the Fourth Proportional to 64,786.92, 97,096.95 and 31,442.46

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Solution

The fourth proportional to 64,786.92, 97,096.95 and 31,442.46 is: 47,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,786.92 : 97,096.95 = 31,442.46 : x
  2. Step 2: Convert to fraction form
    64,786.92/97,096.95 = 31,442.46/x
  3. Step 3: Cross multiply
    64,786.92x = 97,096.95 × 31,442.46
  4. Step 4: Simplify right side
    64,786.92x = 3,052,966,966.50
  5. Step 5: Solve for x
    x = 3,052,966,966.50/64,786.92
  6. Step 6: Final answer
    x = 47,123.20

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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.