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Finding the Fourth Proportional to 51,119.12, 70,515.68 and 30,696

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Solution

The fourth proportional to 51,119.12, 70,515.68 and 30,696 is: 42,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,119.12 : 70,515.68 = 30,696 : x
  2. Step 2: Convert to fraction form
    51,119.12/70,515.68 = 30,696/x
  3. Step 3: Cross multiply
    51,119.12x = 70,515.68 × 30,696
  4. Step 4: Simplify right side
    51,119.12x = 2,164,549,313.28
  5. Step 5: Solve for x
    x = 2,164,549,313.28/51,119.12
  6. Step 6: Final answer
    x = 42,343.24

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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.