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Finding the Fourth Proportional to 96,117.84, 132,694.20 and 64,341

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Solution

The fourth proportional to 96,117.84, 132,694.20 and 64,341 is: 88,825.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,117.84 : 132,694.20 = 64,341 : x
  2. Step 2: Convert to fraction form
    96,117.84/132,694.20 = 64,341/x
  3. Step 3: Cross multiply
    96,117.84x = 132,694.20 × 64,341
  4. Step 4: Simplify right side
    96,117.84x = 8,537,677,522.20
  5. Step 5: Solve for x
    x = 8,537,677,522.20/96,117.84
  6. Step 6: Final answer
    x = 88,825.11

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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.