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Finding the Fourth Proportional to 51,378.58, 70,894.20 and 31,224.70

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Solution

The fourth proportional to 51,378.58, 70,894.20 and 31,224.70 is: 43,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,378.58 : 70,894.20 = 31,224.70 : x
  2. Step 2: Convert to fraction form
    51,378.58/70,894.20 = 31,224.70/x
  3. Step 3: Cross multiply
    51,378.58x = 70,894.20 × 31,224.70
  4. Step 4: Simplify right side
    51,378.58x = 2,213,650,126.74
  5. Step 5: Solve for x
    x = 2,213,650,126.74/51,378.58
  6. Step 6: Final answer
    x = 43,085.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.