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Finding the Fourth Proportional to 65,193.30, 97,823.31 and 31,037.73

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Solution

The fourth proportional to 65,193.30, 97,823.31 and 31,037.73 is: 46,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.30 : 97,823.31 = 31,037.73 : x
  2. Step 2: Convert to fraction form
    65,193.30/97,823.31 = 31,037.73/x
  3. Step 3: Cross multiply
    65,193.30x = 97,823.31 × 31,037.73
  4. Step 4: Simplify right side
    65,193.30x = 3,036,213,483.49
  5. Step 5: Solve for x
    x = 3,036,213,483.49/65,193.30
  6. Step 6: Final answer
    x = 46,572.48

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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.