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Finding the Fourth Proportional to 84,357.27, 116,407.49 and 48,541.50

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Solution

The fourth proportional to 84,357.27, 116,407.49 and 48,541.50 is: 66,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,357.27 : 116,407.49 = 48,541.50 : x
  2. Step 2: Convert to fraction form
    84,357.27/116,407.49 = 48,541.50/x
  3. Step 3: Cross multiply
    84,357.27x = 116,407.49 × 48,541.50
  4. Step 4: Simplify right side
    84,357.27x = 5,650,594,175.84
  5. Step 5: Solve for x
    x = 5,650,594,175.84/84,357.27
  6. Step 6: Final answer
    x = 66,984.08

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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.