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Finding the Fourth Proportional to 83,284.71, 114,910.16 and 47,461.65

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Solution

The fourth proportional to 83,284.71, 114,910.16 and 47,461.65 is: 65,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,284.71 : 114,910.16 = 47,461.65 : x
  2. Step 2: Convert to fraction form
    83,284.71/114,910.16 = 47,461.65/x
  3. Step 3: Cross multiply
    83,284.71x = 114,910.16 × 47,461.65
  4. Step 4: Simplify right side
    83,284.71x = 5,453,825,558.06
  5. Step 5: Solve for x
    x = 5,453,825,558.06/83,284.71
  6. Step 6: Final answer
    x = 65,484.12

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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.