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Finding the Fourth Proportional to 51,152.09, 70,619.16 and 34,185.08

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Solution

The fourth proportional to 51,152.09, 70,619.16 and 34,185.08 is: 47,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,152.09 : 70,619.16 = 34,185.08 : x
  2. Step 2: Convert to fraction form
    51,152.09/70,619.16 = 34,185.08/x
  3. Step 3: Cross multiply
    51,152.09x = 70,619.16 × 34,185.08
  4. Step 4: Simplify right side
    51,152.09x = 2,414,121,281.04
  5. Step 5: Solve for x
    x = 2,414,121,281.04/51,152.09
  6. Step 6: Final answer
    x = 47,194.97

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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.