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Finding the Fourth Proportional to 31,451.99, 47,176.77 and 11,730.52

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Solution

The fourth proportional to 31,451.99, 47,176.77 and 11,730.52 is: 17,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,451.99 : 47,176.77 = 11,730.52 : x
  2. Step 2: Convert to fraction form
    31,451.99/47,176.77 = 11,730.52/x
  3. Step 3: Cross multiply
    31,451.99x = 47,176.77 × 11,730.52
  4. Step 4: Simplify right side
    31,451.99x = 553,407,808.14
  5. Step 5: Solve for x
    x = 553,407,808.14/31,451.99
  6. Step 6: Final answer
    x = 17,595.32

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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.