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Finding the Fourth Proportional to 51,625.52, 71,216.98 and 33,731

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Solution

The fourth proportional to 51,625.52, 71,216.98 and 33,731 is: 46,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,625.52 : 71,216.98 = 33,731 : x
  2. Step 2: Convert to fraction form
    51,625.52/71,216.98 = 33,731/x
  3. Step 3: Cross multiply
    51,625.52x = 71,216.98 × 33,731
  4. Step 4: Simplify right side
    51,625.52x = 2,402,219,952.38
  5. Step 5: Solve for x
    x = 2,402,219,952.38/51,625.52
  6. Step 6: Final answer
    x = 46,531.64

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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.