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Finding the Fourth Proportional to 31,967.78, 47,952.58 and 9,780.67

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Solution

The fourth proportional to 31,967.78, 47,952.58 and 9,780.67 is: 14,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,967.78 : 47,952.58 = 9,780.67 : x
  2. Step 2: Convert to fraction form
    31,967.78/47,952.58 = 9,780.67/x
  3. Step 3: Cross multiply
    31,967.78x = 47,952.58 × 9,780.67
  4. Step 4: Simplify right side
    31,967.78x = 469,008,172.23
  5. Step 5: Solve for x
    x = 469,008,172.23/31,967.78
  6. Step 6: Final answer
    x = 14,671.28

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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.