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Finding the Fourth Proportional to 31,056.50, 46,592.04 and 10,280

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Solution

The fourth proportional to 31,056.50, 46,592.04 and 10,280 is: 15,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.50 : 46,592.04 = 10,280 : x
  2. Step 2: Convert to fraction form
    31,056.50/46,592.04 = 10,280/x
  3. Step 3: Cross multiply
    31,056.50x = 46,592.04 × 10,280
  4. Step 4: Simplify right side
    31,056.50x = 478,966,171.20
  5. Step 5: Solve for x
    x = 478,966,171.20/31,056.50
  6. Step 6: Final answer
    x = 15,422.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.