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Finding the Fourth Proportional to 31,957.68, 47,866.68 and 26,348

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Solution

The fourth proportional to 31,957.68, 47,866.68 and 26,348 is: 39,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.68 : 47,866.68 = 26,348 : x
  2. Step 2: Convert to fraction form
    31,957.68/47,866.68 = 26,348/x
  3. Step 3: Cross multiply
    31,957.68x = 47,866.68 × 26,348
  4. Step 4: Simplify right side
    31,957.68x = 1,261,191,284.64
  5. Step 5: Solve for x
    x = 1,261,191,284.64/31,957.68
  6. Step 6: Final answer
    x = 39,464.42

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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.