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Finding the Fourth Proportional to 100,963.80, 151,444.35 and 30,843.45

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Solution

The fourth proportional to 100,963.80, 151,444.35 and 30,843.45 is: 46,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,963.80 : 151,444.35 = 30,843.45 : x
  2. Step 2: Convert to fraction form
    100,963.80/151,444.35 = 30,843.45/x
  3. Step 3: Cross multiply
    100,963.80x = 151,444.35 × 30,843.45
  4. Step 4: Simplify right side
    100,963.80x = 4,671,066,237.01
  5. Step 5: Solve for x
    x = 4,671,066,237.01/100,963.80
  6. Step 6: Final answer
    x = 46,264.76

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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.