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Finding the Fourth Proportional to 35,695.38, 49,261.80 and 20,587.76

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Solution

The fourth proportional to 35,695.38, 49,261.80 and 20,587.76 is: 28,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.38 : 49,261.80 = 20,587.76 : x
  2. Step 2: Convert to fraction form
    35,695.38/49,261.80 = 20,587.76/x
  3. Step 3: Cross multiply
    35,695.38x = 49,261.80 × 20,587.76
  4. Step 4: Simplify right side
    35,695.38x = 1,014,190,115.57
  5. Step 5: Solve for x
    x = 1,014,190,115.57/35,695.38
  6. Step 6: Final answer
    x = 28,412.36

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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.