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Finding the Fourth Proportional to 31,056.64, 46,592.64 and 10,282.24

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Solution

The fourth proportional to 31,056.64, 46,592.64 and 10,282.24 is: 15,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.64 : 46,592.64 = 10,282.24 : x
  2. Step 2: Convert to fraction form
    31,056.64/46,592.64 = 10,282.24/x
  3. Step 3: Cross multiply
    31,056.64x = 46,592.64 × 10,282.24
  4. Step 4: Simplify right side
    31,056.64x = 479,076,706.71
  5. Step 5: Solve for x
    x = 479,076,706.71/31,056.64
  6. Step 6: Final answer
    x = 15,425.90

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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.