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Finding the Fourth Proportional to 31,316.70, 46,990.10 and 14,674.03

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Solution

The fourth proportional to 31,316.70, 46,990.10 and 14,674.03 is: 22,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,316.70 : 46,990.10 = 14,674.03 : x
  2. Step 2: Convert to fraction form
    31,316.70/46,990.10 = 14,674.03/x
  3. Step 3: Cross multiply
    31,316.70x = 46,990.10 × 14,674.03
  4. Step 4: Simplify right side
    31,316.70x = 689,534,063.73
  5. Step 5: Solve for x
    x = 689,534,063.73/31,316.70
  6. Step 6: Final answer
    x = 22,018.10

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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.