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Finding the Fourth Proportional to 83,696.55, 115,526.84 and 49,710.57

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Solution

The fourth proportional to 83,696.55, 115,526.84 and 49,710.57 is: 68,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,696.55 : 115,526.84 = 49,710.57 : x
  2. Step 2: Convert to fraction form
    83,696.55/115,526.84 = 49,710.57/x
  3. Step 3: Cross multiply
    83,696.55x = 115,526.84 × 49,710.57
  4. Step 4: Simplify right side
    83,696.55x = 5,742,905,066.70
  5. Step 5: Solve for x
    x = 5,742,905,066.70/83,696.55
  6. Step 6: Final answer
    x = 68,615.79

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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.