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Finding the Fourth Proportional to 114,381.91, 171,551.80 and 47,804.16

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Solution

The fourth proportional to 114,381.91, 171,551.80 and 47,804.16 is: 71,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,381.91 : 171,551.80 = 47,804.16 : x
  2. Step 2: Convert to fraction form
    114,381.91/171,551.80 = 47,804.16/x
  3. Step 3: Cross multiply
    114,381.91x = 171,551.80 × 47,804.16
  4. Step 4: Simplify right side
    114,381.91x = 8,200,889,695.49
  5. Step 5: Solve for x
    x = 8,200,889,695.49/114,381.91
  6. Step 6: Final answer
    x = 71,697.44

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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.