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Finding the Fourth Proportional to 65,566.80, 98,364.78 and 18,816

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Solution

The fourth proportional to 65,566.80, 98,364.78 and 18,816 is: 28,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,566.80 : 98,364.78 = 18,816 : x
  2. Step 2: Convert to fraction form
    65,566.80/98,364.78 = 18,816/x
  3. Step 3: Cross multiply
    65,566.80x = 98,364.78 × 18,816
  4. Step 4: Simplify right side
    65,566.80x = 1,850,831,700.48
  5. Step 5: Solve for x
    x = 1,850,831,700.48/65,566.80
  6. Step 6: Final answer
    x = 28,228.18

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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.