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Finding the Fourth Proportional to 77,181.52, 106,506.86 and 43,194.32

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Solution

The fourth proportional to 77,181.52, 106,506.86 and 43,194.32 is: 59,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,181.52 : 106,506.86 = 43,194.32 : x
  2. Step 2: Convert to fraction form
    77,181.52/106,506.86 = 43,194.32/x
  3. Step 3: Cross multiply
    77,181.52x = 106,506.86 × 43,194.32
  4. Step 4: Simplify right side
    77,181.52x = 4,600,491,393.04
  5. Step 5: Solve for x
    x = 4,600,491,393.04/77,181.52
  6. Step 6: Final answer
    x = 59,606.13

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1.5x scale

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.