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Finding the Fourth Proportional to 65,822.96, 98,504.76 and 53,838.20

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Solution

The fourth proportional to 65,822.96, 98,504.76 and 53,838.20 is: 80,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,822.96 : 98,504.76 = 53,838.20 : x
  2. Step 2: Convert to fraction form
    65,822.96/98,504.76 = 53,838.20/x
  3. Step 3: Cross multiply
    65,822.96x = 98,504.76 × 53,838.20
  4. Step 4: Simplify right side
    65,822.96x = 5,303,318,969.83
  5. Step 5: Solve for x
    x = 5,303,318,969.83/65,822.96
  6. Step 6: Final answer
    x = 80,569.44

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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.