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Finding the Fourth Proportional to 83,275.57, 114,917.42 and 47,477.11

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Solution

The fourth proportional to 83,275.57, 114,917.42 and 47,477.11 is: 65,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,275.57 : 114,917.42 = 47,477.11 : x
  2. Step 2: Convert to fraction form
    83,275.57/114,917.42 = 47,477.11/x
  3. Step 3: Cross multiply
    83,275.57x = 114,917.42 × 47,477.11
  4. Step 4: Simplify right side
    83,275.57x = 5,455,946,178.28
  5. Step 5: Solve for x
    x = 5,455,946,178.28/83,275.57
  6. Step 6: Final answer
    x = 65,516.77

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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.