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Finding the Fourth Proportional to 51,272.64, 70,761.15 and 31,124.93

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Solution

The fourth proportional to 51,272.64, 70,761.15 and 31,124.93 is: 42,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,272.64 : 70,761.15 = 31,124.93 : x
  2. Step 2: Convert to fraction form
    51,272.64/70,761.15 = 31,124.93/x
  3. Step 3: Cross multiply
    51,272.64x = 70,761.15 × 31,124.93
  4. Step 4: Simplify right side
    51,272.64x = 2,202,435,486.66
  5. Step 5: Solve for x
    x = 2,202,435,486.66/51,272.64
  6. Step 6: Final answer
    x = 42,955.38

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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.