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Finding the Fourth Proportional to 51,808.25, 71,498.01 and 30,587.06

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Solution

The fourth proportional to 51,808.25, 71,498.01 and 30,587.06 is: 42,211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.25 : 71,498.01 = 30,587.06 : x
  2. Step 2: Convert to fraction form
    51,808.25/71,498.01 = 30,587.06/x
  3. Step 3: Cross multiply
    51,808.25x = 71,498.01 × 30,587.06
  4. Step 4: Simplify right side
    51,808.25x = 2,186,913,921.75
  5. Step 5: Solve for x
    x = 2,186,913,921.75/51,808.25
  6. Step 6: Final answer
    x = 42,211.69

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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.