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Finding the Fourth Proportional to 114,294.40, 171,422.16 and 31,168.96

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Solution

The fourth proportional to 114,294.40, 171,422.16 and 31,168.96 is: 46,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,294.40 : 171,422.16 = 31,168.96 : x
  2. Step 2: Convert to fraction form
    114,294.40/171,422.16 = 31,168.96/x
  3. Step 3: Cross multiply
    114,294.40x = 171,422.16 × 31,168.96
  4. Step 4: Simplify right side
    114,294.40x = 5,343,050,448.15
  5. Step 5: Solve for x
    x = 5,343,050,448.15/114,294.40
  6. Step 6: Final answer
    x = 46,748.14

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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.