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Finding the Fourth Proportional to 82,283.64, 113,545.47 and 48,293.47

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Solution

The fourth proportional to 82,283.64, 113,545.47 and 48,293.47 is: 66,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283.64 : 113,545.47 = 48,293.47 : x
  2. Step 2: Convert to fraction form
    82,283.64/113,545.47 = 48,293.47/x
  3. Step 3: Cross multiply
    82,283.64x = 113,545.47 × 48,293.47
  4. Step 4: Simplify right side
    82,283.64x = 5,483,504,749.08
  5. Step 5: Solve for x
    x = 5,483,504,749.08/82,283.64
  6. Step 6: Final answer
    x = 66,641.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.