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Finding the Fourth Proportional to 82,521.69, 113,442.06 and 70,994.52

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Solution

The fourth proportional to 82,521.69, 113,442.06 and 70,994.52 is: 97,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,521.69 : 113,442.06 = 70,994.52 : x
  2. Step 2: Convert to fraction form
    82,521.69/113,442.06 = 70,994.52/x
  3. Step 3: Cross multiply
    82,521.69x = 113,442.06 × 70,994.52
  4. Step 4: Simplify right side
    82,521.69x = 8,053,764,597.51
  5. Step 5: Solve for x
    x = 8,053,764,597.51/82,521.69
  6. Step 6: Final answer
    x = 97,595.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.