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Finding the Fourth Proportional to 31,053.68, 42,866.52 and 18,476

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Solution

The fourth proportional to 31,053.68, 42,866.52 and 18,476 is: 25,504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.68 : 42,866.52 = 18,476 : x
  2. Step 2: Convert to fraction form
    31,053.68/42,866.52 = 18,476/x
  3. Step 3: Cross multiply
    31,053.68x = 42,866.52 × 18,476
  4. Step 4: Simplify right side
    31,053.68x = 792,001,823.52
  5. Step 5: Solve for x
    x = 792,001,823.52/31,053.68
  6. Step 6: Final answer
    x = 25,504.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.