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Finding the Fourth Proportional to 65,724.71, 98,671.80 and 56,424.48

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Solution

The fourth proportional to 65,724.71, 98,671.80 and 56,424.48 is: 84,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,724.71 : 98,671.80 = 56,424.48 : x
  2. Step 2: Convert to fraction form
    65,724.71/98,671.80 = 56,424.48/x
  3. Step 3: Cross multiply
    65,724.71x = 98,671.80 × 56,424.48
  4. Step 4: Simplify right side
    65,724.71x = 5,567,505,005.66
  5. Step 5: Solve for x
    x = 5,567,505,005.66/65,724.71
  6. Step 6: Final answer
    x = 84,709.47

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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.