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Finding the Fourth Proportional to 59,742.56, 82,410.36 and 37,347.68

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Solution

The fourth proportional to 59,742.56, 82,410.36 and 37,347.68 is: 51,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,742.56 : 82,410.36 = 37,347.68 : x
  2. Step 2: Convert to fraction form
    59,742.56/82,410.36 = 37,347.68/x
  3. Step 3: Cross multiply
    59,742.56x = 82,410.36 × 37,347.68
  4. Step 4: Simplify right side
    59,742.56x = 3,077,835,753.96
  5. Step 5: Solve for x
    x = 3,077,835,753.96/59,742.56
  6. Step 6: Final answer
    x = 51,518.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.