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Finding the Fourth Proportional to 51,255.84, 70,713.36 and 31,116

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Solution

The fourth proportional to 51,255.84, 70,713.36 and 31,116 is: 42,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,255.84 : 70,713.36 = 31,116 : x
  2. Step 2: Convert to fraction form
    51,255.84/70,713.36 = 31,116/x
  3. Step 3: Cross multiply
    51,255.84x = 70,713.36 × 31,116
  4. Step 4: Simplify right side
    51,255.84x = 2,200,316,909.76
  5. Step 5: Solve for x
    x = 2,200,316,909.76/51,255.84
  6. Step 6: Final answer
    x = 42,928.12

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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.