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Finding the Fourth Proportional to 83,178.49, 114,791.76 and 46,888.87

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Solution

The fourth proportional to 83,178.49, 114,791.76 and 46,888.87 is: 64,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178.49 : 114,791.76 = 46,888.87 : x
  2. Step 2: Convert to fraction form
    83,178.49/114,791.76 = 46,888.87/x
  3. Step 3: Cross multiply
    83,178.49x = 114,791.76 × 46,888.87
  4. Step 4: Simplify right side
    83,178.49x = 5,382,455,911.71
  5. Step 5: Solve for x
    x = 5,382,455,911.71/83,178.49
  6. Step 6: Final answer
    x = 64,709.71

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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.