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Finding the Fourth Proportional to 82,148.88, 113,365.32 and 46,338.78

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Solution

The fourth proportional to 82,148.88, 113,365.32 and 46,338.78 is: 63,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,148.88 : 113,365.32 = 46,338.78 : x
  2. Step 2: Convert to fraction form
    82,148.88/113,365.32 = 46,338.78/x
  3. Step 3: Cross multiply
    82,148.88x = 113,365.32 × 46,338.78
  4. Step 4: Simplify right side
    82,148.88x = 5,253,210,623.11
  5. Step 5: Solve for x
    x = 5,253,210,623.11/82,148.88
  6. Step 6: Final answer
    x = 63,947.44

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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.