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Finding the Fourth Proportional to 31,038.64, 46,565.22 and 10,262.14

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Solution

The fourth proportional to 31,038.64, 46,565.22 and 10,262.14 is: 15,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038.64 : 46,565.22 = 10,262.14 : x
  2. Step 2: Convert to fraction form
    31,038.64/46,565.22 = 10,262.14/x
  3. Step 3: Cross multiply
    31,038.64x = 46,565.22 × 10,262.14
  4. Step 4: Simplify right side
    31,038.64x = 477,858,806.77
  5. Step 5: Solve for x
    x = 477,858,806.77/31,038.64
  6. Step 6: Final answer
    x = 15,395.61

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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.