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Finding the Fourth Proportional to 30,722.16, 46,044.90 and 13,171.62

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Solution

The fourth proportional to 30,722.16, 46,044.90 and 13,171.62 is: 19,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722.16 : 46,044.90 = 13,171.62 : x
  2. Step 2: Convert to fraction form
    30,722.16/46,044.90 = 13,171.62/x
  3. Step 3: Cross multiply
    30,722.16x = 46,044.90 × 13,171.62
  4. Step 4: Simplify right side
    30,722.16x = 606,485,925.74
  5. Step 5: Solve for x
    x = 606,485,925.74/30,722.16
  6. Step 6: Final answer
    x = 19,740.99

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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.