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Finding the Fourth Proportional to 82,712.56, 124,069.60 and 23,548.24

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Solution

The fourth proportional to 82,712.56, 124,069.60 and 23,548.24 is: 35,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,712.56 : 124,069.60 = 23,548.24 : x
  2. Step 2: Convert to fraction form
    82,712.56/124,069.60 = 23,548.24/x
  3. Step 3: Cross multiply
    82,712.56x = 124,069.60 × 23,548.24
  4. Step 4: Simplify right side
    82,712.56x = 2,921,620,717.50
  5. Step 5: Solve for x
    x = 2,921,620,717.50/82,712.56
  6. Step 6: Final answer
    x = 35,322.58

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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.