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Finding the Fourth Proportional to 96,996.16, 133,812.30 and 59,248

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Solution

The fourth proportional to 96,996.16, 133,812.30 and 59,248 is: 81,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,996.16 : 133,812.30 = 59,248 : x
  2. Step 2: Convert to fraction form
    96,996.16/133,812.30 = 59,248/x
  3. Step 3: Cross multiply
    96,996.16x = 133,812.30 × 59,248
  4. Step 4: Simplify right side
    96,996.16x = 7,928,111,150.40
  5. Step 5: Solve for x
    x = 7,928,111,150.40/96,996.16
  6. Step 6: Final answer
    x = 81,736.34

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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.