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Finding the Fourth Proportional to 31,599.72, 47,401.20 and 14,070.78

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Solution

The fourth proportional to 31,599.72, 47,401.20 and 14,070.78 is: 21,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599.72 : 47,401.20 = 14,070.78 : x
  2. Step 2: Convert to fraction form
    31,599.72/47,401.20 = 14,070.78/x
  3. Step 3: Cross multiply
    31,599.72x = 47,401.20 × 14,070.78
  4. Step 4: Simplify right side
    31,599.72x = 666,971,856.94
  5. Step 5: Solve for x
    x = 666,971,856.94/31,599.72
  6. Step 6: Final answer
    x = 21,106.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.