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Finding the Fourth Proportional to 31,901.35, 47,858.94 and 9,714.15

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Solution

The fourth proportional to 31,901.35, 47,858.94 and 9,714.15 is: 14,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.35 : 47,858.94 = 9,714.15 : x
  2. Step 2: Convert to fraction form
    31,901.35/47,858.94 = 9,714.15/x
  3. Step 3: Cross multiply
    31,901.35x = 47,858.94 × 9,714.15
  4. Step 4: Simplify right side
    31,901.35x = 464,908,706.99
  5. Step 5: Solve for x
    x = 464,908,706.99/31,901.35
  6. Step 6: Final answer
    x = 14,573.32

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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.