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Finding the Fourth Proportional to 114,543, 171,817.74 and 31,437

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Solution

The fourth proportional to 114,543, 171,817.74 and 31,437 is: 47,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,543 : 171,817.74 = 31,437 : x
  2. Step 2: Convert to fraction form
    114,543/171,817.74 = 31,437/x
  3. Step 3: Cross multiply
    114,543x = 171,817.74 × 31,437
  4. Step 4: Simplify right side
    114,543x = 5,401,434,292.38
  5. Step 5: Solve for x
    x = 5,401,434,292.38/114,543
  6. Step 6: Final answer
    x = 47,156.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.