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Finding the Fourth Proportional to 31,573.84, 47,300 and 19,732.24

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Solution

The fourth proportional to 31,573.84, 47,300 and 19,732.24 is: 29,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,573.84 : 47,300 = 19,732.24 : x
  2. Step 2: Convert to fraction form
    31,573.84/47,300 = 19,732.24/x
  3. Step 3: Cross multiply
    31,573.84x = 47,300 × 19,732.24
  4. Step 4: Simplify right side
    31,573.84x = 933,334,952.00
  5. Step 5: Solve for x
    x = 933,334,952.00/31,573.84
  6. Step 6: Final answer
    x = 29,560.39

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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.