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Finding the Fourth Proportional to 46,726, 70,062.06 and 31,952.82

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Solution

The fourth proportional to 46,726, 70,062.06 and 31,952.82 is: 47,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,726 : 70,062.06 = 31,952.82 : x
  2. Step 2: Convert to fraction form
    46,726/70,062.06 = 31,952.82/x
  3. Step 3: Cross multiply
    46,726x = 70,062.06 × 31,952.82
  4. Step 4: Simplify right side
    46,726x = 2,238,680,392.01
  5. Step 5: Solve for x
    x = 2,238,680,392.01/46,726
  6. Step 6: Final answer
    x = 47,910.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.