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Finding the Fourth Proportional to 35,720.30, 49,284.02 and 28,143.14

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Solution

The fourth proportional to 35,720.30, 49,284.02 and 28,143.14 is: 38,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,720.30 : 49,284.02 = 28,143.14 : x
  2. Step 2: Convert to fraction form
    35,720.30/49,284.02 = 28,143.14/x
  3. Step 3: Cross multiply
    35,720.30x = 49,284.02 × 28,143.14
  4. Step 4: Simplify right side
    35,720.30x = 1,387,007,074.62
  5. Step 5: Solve for x
    x = 1,387,007,074.62/35,720.30
  6. Step 6: Final answer
    x = 38,829.66

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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.