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Finding the Fourth Proportional to 31,476.50, 47,214.78 and 13,008.98

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Solution

The fourth proportional to 31,476.50, 47,214.78 and 13,008.98 is: 19,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,476.50 : 47,214.78 = 13,008.98 : x
  2. Step 2: Convert to fraction form
    31,476.50/47,214.78 = 13,008.98/x
  3. Step 3: Cross multiply
    31,476.50x = 47,214.78 × 13,008.98
  4. Step 4: Simplify right side
    31,476.50x = 614,216,128.72
  5. Step 5: Solve for x
    x = 614,216,128.72/31,476.50
  6. Step 6: Final answer
    x = 19,513.48

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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.