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Finding the Fourth Proportional to 31,402.50, 47,103.75 and 12,690.78

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Solution

The fourth proportional to 31,402.50, 47,103.75 and 12,690.78 is: 19,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.50 : 47,103.75 = 12,690.78 : x
  2. Step 2: Convert to fraction form
    31,402.50/47,103.75 = 12,690.78/x
  3. Step 3: Cross multiply
    31,402.50x = 47,103.75 × 12,690.78
  4. Step 4: Simplify right side
    31,402.50x = 597,783,328.43
  5. Step 5: Solve for x
    x = 597,783,328.43/31,402.50
  6. Step 6: Final answer
    x = 19,036.17

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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.