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Finding the Fourth Proportional to 31,255.64, 46,820.64 and 14,592.68

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Solution

The fourth proportional to 31,255.64, 46,820.64 and 14,592.68 is: 21,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,255.64 : 46,820.64 = 14,592.68 : x
  2. Step 2: Convert to fraction form
    31,255.64/46,820.64 = 14,592.68/x
  3. Step 3: Cross multiply
    31,255.64x = 46,820.64 × 14,592.68
  4. Step 4: Simplify right side
    31,255.64x = 683,238,616.92
  5. Step 5: Solve for x
    x = 683,238,616.92/31,255.64
  6. Step 6: Final answer
    x = 21,859.69

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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.