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Finding the Fourth Proportional to 114,375, 171,562.50 and 31,269

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Solution

The fourth proportional to 114,375, 171,562.50 and 31,269 is: 46,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,375 : 171,562.50 = 31,269 : x
  2. Step 2: Convert to fraction form
    114,375/171,562.50 = 31,269/x
  3. Step 3: Cross multiply
    114,375x = 171,562.50 × 31,269
  4. Step 4: Simplify right side
    114,375x = 5,364,587,812.50
  5. Step 5: Solve for x
    x = 5,364,587,812.50/114,375
  6. Step 6: Final answer
    x = 46,903.50

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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.