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Finding the Fourth Proportional to 83,106, 114,696 and 47,307.24

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Solution

The fourth proportional to 83,106, 114,696 and 47,307.24 is: 65,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,106 : 114,696 = 47,307.24 : x
  2. Step 2: Convert to fraction form
    83,106/114,696 = 47,307.24/x
  3. Step 3: Cross multiply
    83,106x = 114,696 × 47,307.24
  4. Step 4: Simplify right side
    83,106x = 5,425,951,199.04
  5. Step 5: Solve for x
    x = 5,425,951,199.04/83,106
  6. Step 6: Final answer
    x = 65,289.52

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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.