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Finding the Fourth Proportional to 65,442.83, 98,143.43 and 21,059.24

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Solution

The fourth proportional to 65,442.83, 98,143.43 and 21,059.24 is: 31,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,442.83 : 98,143.43 = 21,059.24 : x
  2. Step 2: Convert to fraction form
    65,442.83/98,143.43 = 21,059.24/x
  3. Step 3: Cross multiply
    65,442.83x = 98,143.43 × 21,059.24
  4. Step 4: Simplify right side
    65,442.83x = 2,066,825,450.78
  5. Step 5: Solve for x
    x = 2,066,825,450.78/65,442.83
  6. Step 6: Final answer
    x = 31,582.16

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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.