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Finding the Fourth Proportional to 69,648, 96,114.24 and 39,840

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Solution

The fourth proportional to 69,648, 96,114.24 and 39,840 is: 54,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,648 : 96,114.24 = 39,840 : x
  2. Step 2: Convert to fraction form
    69,648/96,114.24 = 39,840/x
  3. Step 3: Cross multiply
    69,648x = 96,114.24 × 39,840
  4. Step 4: Simplify right side
    69,648x = 3,829,191,321.60
  5. Step 5: Solve for x
    x = 3,829,191,321.60/69,648
  6. Step 6: Final answer
    x = 54,979.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.