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Finding the Fourth Proportional to 35,714.38, 49,275.60 and 20,605.84

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Solution

The fourth proportional to 35,714.38, 49,275.60 and 20,605.84 is: 28,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.38 : 49,275.60 = 20,605.84 : x
  2. Step 2: Convert to fraction form
    35,714.38/49,275.60 = 20,605.84/x
  3. Step 3: Cross multiply
    35,714.38x = 49,275.60 × 20,605.84
  4. Step 4: Simplify right side
    35,714.38x = 1,015,365,129.50
  5. Step 5: Solve for x
    x = 1,015,365,129.50/35,714.38
  6. Step 6: Final answer
    x = 28,430.15

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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.