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Finding the Fourth Proportional to 31,990, 47,985.14 and 9,801.67

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Solution

The fourth proportional to 31,990, 47,985.14 and 9,801.67 is: 14,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990 : 47,985.14 = 9,801.67 : x
  2. Step 2: Convert to fraction form
    31,990/47,985.14 = 9,801.67/x
  3. Step 3: Cross multiply
    31,990x = 47,985.14 × 9,801.67
  4. Step 4: Simplify right side
    31,990x = 470,334,507.18
  5. Step 5: Solve for x
    x = 470,334,507.18/31,990
  6. Step 6: Final answer
    x = 14,702.55

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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.