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Finding the Fourth Proportional to 65,816.04, 98,723.98 and 21,442.74

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Solution

The fourth proportional to 65,816.04, 98,723.98 and 21,442.74 is: 32,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,816.04 : 98,723.98 = 21,442.74 : x
  2. Step 2: Convert to fraction form
    65,816.04/98,723.98 = 21,442.74/x
  3. Step 3: Cross multiply
    65,816.04x = 98,723.98 × 21,442.74
  4. Step 4: Simplify right side
    65,816.04x = 2,116,912,634.91
  5. Step 5: Solve for x
    x = 2,116,912,634.91/65,816.04
  6. Step 6: Final answer
    x = 32,164.08

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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.