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Finding the Fourth Proportional to 31,094.65, 46,641.76 and 8,908.05

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Solution

The fourth proportional to 31,094.65, 46,641.76 and 8,908.05 is: 13,362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.65 : 46,641.76 = 8,908.05 : x
  2. Step 2: Convert to fraction form
    31,094.65/46,641.76 = 8,908.05/x
  3. Step 3: Cross multiply
    31,094.65x = 46,641.76 × 8,908.05
  4. Step 4: Simplify right side
    31,094.65x = 415,487,107.90
  5. Step 5: Solve for x
    x = 415,487,107.90/31,094.65
  6. Step 6: Final answer
    x = 13,362.01

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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.