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Finding the Fourth Proportional to 114,064.61, 171,096.91 and 47,536.07

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Solution

The fourth proportional to 114,064.61, 171,096.91 and 47,536.07 is: 71,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,064.61 : 171,096.91 = 47,536.07 : x
  2. Step 2: Convert to fraction form
    114,064.61/171,096.91 = 47,536.07/x
  3. Step 3: Cross multiply
    114,064.61x = 171,096.91 × 47,536.07
  4. Step 4: Simplify right side
    114,064.61x = 8,133,273,716.22
  5. Step 5: Solve for x
    x = 8,133,273,716.22/114,064.61
  6. Step 6: Final answer
    x = 71,304.10

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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.