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Finding the Fourth Proportional to 71,803.14, 107,656.11 and 25,030.50

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Solution

The fourth proportional to 71,803.14, 107,656.11 and 25,030.50 is: 37,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,803.14 : 107,656.11 = 25,030.50 : x
  2. Step 2: Convert to fraction form
    71,803.14/107,656.11 = 25,030.50/x
  3. Step 3: Cross multiply
    71,803.14x = 107,656.11 × 25,030.50
  4. Step 4: Simplify right side
    71,803.14x = 2,694,686,261.36
  5. Step 5: Solve for x
    x = 2,694,686,261.36/71,803.14
  6. Step 6: Final answer
    x = 37,528.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.