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Finding the Fourth Proportional to 31,000.64, 46,510.68 and 10,238.72

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Solution

The fourth proportional to 31,000.64, 46,510.68 and 10,238.72 is: 15,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.64 : 46,510.68 = 10,238.72 : x
  2. Step 2: Convert to fraction form
    31,000.64/46,510.68 = 10,238.72/x
  3. Step 3: Cross multiply
    31,000.64x = 46,510.68 × 10,238.72
  4. Step 4: Simplify right side
    31,000.64x = 476,209,829.53
  5. Step 5: Solve for x
    x = 476,209,829.53/31,000.64
  6. Step 6: Final answer
    x = 15,361.29

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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.