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Finding the Fourth Proportional to 82,063.80, 113,248.80 and 46,250.64

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Solution

The fourth proportional to 82,063.80, 113,248.80 and 46,250.64 is: 63,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,063.80 : 113,248.80 = 46,250.64 : x
  2. Step 2: Convert to fraction form
    82,063.80/113,248.80 = 46,250.64/x
  3. Step 3: Cross multiply
    82,063.80x = 113,248.80 × 46,250.64
  4. Step 4: Simplify right side
    82,063.80x = 5,237,829,479.23
  5. Step 5: Solve for x
    x = 5,237,829,479.23/82,063.80
  6. Step 6: Final answer
    x = 63,826.31

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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.