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Finding the Fourth Proportional to 31,293.04, 46,941.72 and 9,106.60

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Solution

The fourth proportional to 31,293.04, 46,941.72 and 9,106.60 is: 13,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,293.04 : 46,941.72 = 9,106.60 : x
  2. Step 2: Convert to fraction form
    31,293.04/46,941.72 = 9,106.60/x
  3. Step 3: Cross multiply
    31,293.04x = 46,941.72 × 9,106.60
  4. Step 4: Simplify right side
    31,293.04x = 427,479,467.35
  5. Step 5: Solve for x
    x = 427,479,467.35/31,293.04
  6. Step 6: Final answer
    x = 13,660.53

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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.