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Finding the Fourth Proportional to 31,102.70, 46,632.18 and 14,445.05

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Solution

The fourth proportional to 31,102.70, 46,632.18 and 14,445.05 is: 21,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.70 : 46,632.18 = 14,445.05 : x
  2. Step 2: Convert to fraction form
    31,102.70/46,632.18 = 14,445.05/x
  3. Step 3: Cross multiply
    31,102.70x = 46,632.18 × 14,445.05
  4. Step 4: Simplify right side
    31,102.70x = 673,604,171.71
  5. Step 5: Solve for x
    x = 673,604,171.71/31,102.70
  6. Step 6: Final answer
    x = 21,657.42

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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.