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Finding the Fourth Proportional to 31,180.60, 46,764.18 and 8,989.84

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Solution

The fourth proportional to 31,180.60, 46,764.18 and 8,989.84 is: 13,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180.60 : 46,764.18 = 8,989.84 : x
  2. Step 2: Convert to fraction form
    31,180.60/46,764.18 = 8,989.84/x
  3. Step 3: Cross multiply
    31,180.60x = 46,764.18 × 8,989.84
  4. Step 4: Simplify right side
    31,180.60x = 420,402,495.93
  5. Step 5: Solve for x
    x = 420,402,495.93/31,180.60
  6. Step 6: Final answer
    x = 13,482.82

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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.