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Finding the Fourth Proportional to 64,382.81, 96,598.82 and 24,943

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Solution

The fourth proportional to 64,382.81, 96,598.82 and 24,943 is: 37,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,382.81 : 96,598.82 = 24,943 : x
  2. Step 2: Convert to fraction form
    64,382.81/96,598.82 = 24,943/x
  3. Step 3: Cross multiply
    64,382.81x = 96,598.82 × 24,943
  4. Step 4: Simplify right side
    64,382.81x = 2,409,464,367.26
  5. Step 5: Solve for x
    x = 2,409,464,367.26/64,382.81
  6. Step 6: Final answer
    x = 37,424.03

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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.