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Finding the Fourth Proportional to 65,851.66, 98,662.53 and 54,829.26

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Solution

The fourth proportional to 65,851.66, 98,662.53 and 54,829.26 is: 82,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,851.66 : 98,662.53 = 54,829.26 : x
  2. Step 2: Convert to fraction form
    65,851.66/98,662.53 = 54,829.26/x
  3. Step 3: Cross multiply
    65,851.66x = 98,662.53 × 54,829.26
  4. Step 4: Simplify right side
    65,851.66x = 5,409,593,509.63
  5. Step 5: Solve for x
    x = 5,409,593,509.63/65,851.66
  6. Step 6: Final answer
    x = 82,148.17

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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.