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Finding the Fourth Proportional to 31,280.04, 46,927.08 and 10,503

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Solution

The fourth proportional to 31,280.04, 46,927.08 and 10,503 is: 15,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,280.04 : 46,927.08 = 10,503 : x
  2. Step 2: Convert to fraction form
    31,280.04/46,927.08 = 10,503/x
  3. Step 3: Cross multiply
    31,280.04x = 46,927.08 × 10,503
  4. Step 4: Simplify right side
    31,280.04x = 492,875,121.24
  5. Step 5: Solve for x
    x = 492,875,121.24/31,280.04
  6. Step 6: Final answer
    x = 15,756.86

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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.