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Finding the Fourth Proportional to 96,806.40, 133,625.52 and 61,056

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Solution

The fourth proportional to 96,806.40, 133,625.52 and 61,056 is: 84,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,806.40 : 133,625.52 = 61,056 : x
  2. Step 2: Convert to fraction form
    96,806.40/133,625.52 = 61,056/x
  3. Step 3: Cross multiply
    96,806.40x = 133,625.52 × 61,056
  4. Step 4: Simplify right side
    96,806.40x = 8,158,639,749.12
  5. Step 5: Solve for x
    x = 8,158,639,749.12/96,806.40
  6. Step 6: Final answer
    x = 84,277.90

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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.