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Finding the Fourth Proportional to 83,216.49, 114,838.76 and 44,975.92

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Solution

The fourth proportional to 83,216.49, 114,838.76 and 44,975.92 is: 62,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216.49 : 114,838.76 = 44,975.92 : x
  2. Step 2: Convert to fraction form
    83,216.49/114,838.76 = 44,975.92/x
  3. Step 3: Cross multiply
    83,216.49x = 114,838.76 × 44,975.92
  4. Step 4: Simplify right side
    83,216.49x = 5,164,978,882.66
  5. Step 5: Solve for x
    x = 5,164,978,882.66/83,216.49
  6. Step 6: Final answer
    x = 62,066.77

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1.5x scale

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.