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Finding the Fourth Proportional to 114,337.60, 171,506.48 and 47,741.44

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Solution

The fourth proportional to 114,337.60, 171,506.48 and 47,741.44 is: 71,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,337.60 : 171,506.48 = 47,741.44 : x
  2. Step 2: Convert to fraction form
    114,337.60/171,506.48 = 47,741.44/x
  3. Step 3: Cross multiply
    114,337.60x = 171,506.48 × 47,741.44
  4. Step 4: Simplify right side
    114,337.60x = 8,187,966,324.53
  5. Step 5: Solve for x
    x = 8,187,966,324.53/114,337.60
  6. Step 6: Final answer
    x = 71,612.19

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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.