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Finding the Fourth Proportional to 98,156.52, 147,237.20 and 35,827

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Solution

The fourth proportional to 98,156.52, 147,237.20 and 35,827 is: 53,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,156.52 : 147,237.20 = 35,827 : x
  2. Step 2: Convert to fraction form
    98,156.52/147,237.20 = 35,827/x
  3. Step 3: Cross multiply
    98,156.52x = 147,237.20 × 35,827
  4. Step 4: Simplify right side
    98,156.52x = 5,275,067,164.40
  5. Step 5: Solve for x
    x = 5,275,067,164.40/98,156.52
  6. Step 6: Final answer
    x = 53,741.38

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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.