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Finding the Fourth Proportional to 82,870.96, 114,361.91 and 45,145.21

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Solution

The fourth proportional to 82,870.96, 114,361.91 and 45,145.21 is: 62,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,870.96 : 114,361.91 = 45,145.21 : x
  2. Step 2: Convert to fraction form
    82,870.96/114,361.91 = 45,145.21/x
  3. Step 3: Cross multiply
    82,870.96x = 114,361.91 × 45,145.21
  4. Step 4: Simplify right side
    82,870.96x = 5,162,892,442.95
  5. Step 5: Solve for x
    x = 5,162,892,442.95/82,870.96
  6. Step 6: Final answer
    x = 62,300.38

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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.