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Finding the Fourth Proportional to 31,117.44, 46,683.09 and 8,929.11

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Solution

The fourth proportional to 31,117.44, 46,683.09 and 8,929.11 is: 13,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.44 : 46,683.09 = 8,929.11 : x
  2. Step 2: Convert to fraction form
    31,117.44/46,683.09 = 8,929.11/x
  3. Step 3: Cross multiply
    31,117.44x = 46,683.09 × 8,929.11
  4. Step 4: Simplify right side
    31,117.44x = 416,838,445.75
  5. Step 5: Solve for x
    x = 416,838,445.75/31,117.44
  6. Step 6: Final answer
    x = 13,395.65

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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.