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Finding the Fourth Proportional to 65,525.76, 98,334.08 and 29,991.42

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Solution

The fourth proportional to 65,525.76, 98,334.08 and 29,991.42 is: 45,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,525.76 : 98,334.08 = 29,991.42 : x
  2. Step 2: Convert to fraction form
    65,525.76/98,334.08 = 29,991.42/x
  3. Step 3: Cross multiply
    65,525.76x = 98,334.08 × 29,991.42
  4. Step 4: Simplify right side
    65,525.76x = 2,949,178,693.59
  5. Step 5: Solve for x
    x = 2,949,178,693.59/65,525.76
  6. Step 6: Final answer
    x = 45,007.93

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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.