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Finding the Fourth Proportional to 82,278, 113,542.76 and 46,467.36

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Solution

The fourth proportional to 82,278, 113,542.76 and 46,467.36 is: 64,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,278 : 113,542.76 = 46,467.36 : x
  2. Step 2: Convert to fraction form
    82,278/113,542.76 = 46,467.36/x
  3. Step 3: Cross multiply
    82,278x = 113,542.76 × 46,467.36
  4. Step 4: Simplify right side
    82,278x = 5,276,032,304.31
  5. Step 5: Solve for x
    x = 5,276,032,304.31/82,278
  6. Step 6: Final answer
    x = 64,124.46

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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.