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Finding the Fourth Proportional to 83,782, 115,619.36 and 46,056.52

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Solution

The fourth proportional to 83,782, 115,619.36 and 46,056.52 is: 63,558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,782 : 115,619.36 = 46,056.52 : x
  2. Step 2: Convert to fraction form
    83,782/115,619.36 = 46,056.52/x
  3. Step 3: Cross multiply
    83,782x = 115,619.36 × 46,056.52
  4. Step 4: Simplify right side
    83,782x = 5,325,025,366.23
  5. Step 5: Solve for x
    x = 5,325,025,366.23/83,782
  6. Step 6: Final answer
    x = 63,558.11

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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.