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Finding the Fourth Proportional to 31,005.88, 46,508.44 and 7,632.52

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Solution

The fourth proportional to 31,005.88, 46,508.44 and 7,632.52 is: 11,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.88 : 46,508.44 = 7,632.52 : x
  2. Step 2: Convert to fraction form
    31,005.88/46,508.44 = 7,632.52/x
  3. Step 3: Cross multiply
    31,005.88x = 46,508.44 × 7,632.52
  4. Step 4: Simplify right side
    31,005.88x = 354,976,598.47
  5. Step 5: Solve for x
    x = 354,976,598.47/31,005.88
  6. Step 6: Final answer
    x = 11,448.69

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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.