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Finding the Fourth Proportional to 110,046, 151,863.66 and 59,745

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Solution

The fourth proportional to 110,046, 151,863.66 and 59,745 is: 82,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,046 : 151,863.66 = 59,745 : x
  2. Step 2: Convert to fraction form
    110,046/151,863.66 = 59,745/x
  3. Step 3: Cross multiply
    110,046x = 151,863.66 × 59,745
  4. Step 4: Simplify right side
    110,046x = 9,073,094,366.70
  5. Step 5: Solve for x
    x = 9,073,094,366.70/110,046
  6. Step 6: Final answer
    x = 82,448.20

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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.