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Finding the Fourth Proportional to 64,284.91, 96,442.65 and 26,824.16

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Solution

The fourth proportional to 64,284.91, 96,442.65 and 26,824.16 is: 40,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,284.91 : 96,442.65 = 26,824.16 : x
  2. Step 2: Convert to fraction form
    64,284.91/96,442.65 = 26,824.16/x
  3. Step 3: Cross multiply
    64,284.91x = 96,442.65 × 26,824.16
  4. Step 4: Simplify right side
    64,284.91x = 2,586,993,315.53
  5. Step 5: Solve for x
    x = 2,586,993,315.53/64,284.91
  6. Step 6: Final answer
    x = 40,242.62

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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.