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Finding the Fourth Proportional to 31,280.62, 46,929.21 and 9,096.10

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Solution

The fourth proportional to 31,280.62, 46,929.21 and 9,096.10 is: 13,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,280.62 : 46,929.21 = 9,096.10 : x
  2. Step 2: Convert to fraction form
    31,280.62/46,929.21 = 9,096.10/x
  3. Step 3: Cross multiply
    31,280.62x = 46,929.21 × 9,096.10
  4. Step 4: Simplify right side
    31,280.62x = 426,872,787.08
  5. Step 5: Solve for x
    x = 426,872,787.08/31,280.62
  6. Step 6: Final answer
    x = 13,646.56

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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.