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Finding the Fourth Proportional to 35,590.32, 49,109.40 and 20,277

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Solution

The fourth proportional to 35,590.32, 49,109.40 and 20,277 is: 27,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,590.32 : 49,109.40 = 20,277 : x
  2. Step 2: Convert to fraction form
    35,590.32/49,109.40 = 20,277/x
  3. Step 3: Cross multiply
    35,590.32x = 49,109.40 × 20,277
  4. Step 4: Simplify right side
    35,590.32x = 995,791,303.80
  5. Step 5: Solve for x
    x = 995,791,303.80/35,590.32
  6. Step 6: Final answer
    x = 27,979.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.