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Finding the Fourth Proportional to 35,978.08, 49,652.80 and 20,060.48

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Solution

The fourth proportional to 35,978.08, 49,652.80 and 20,060.48 is: 27,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.08 : 49,652.80 = 20,060.48 : x
  2. Step 2: Convert to fraction form
    35,978.08/49,652.80 = 20,060.48/x
  3. Step 3: Cross multiply
    35,978.08x = 49,652.80 × 20,060.48
  4. Step 4: Simplify right side
    35,978.08x = 996,059,001.34
  5. Step 5: Solve for x
    x = 996,059,001.34/35,978.08
  6. Step 6: Final answer
    x = 27,685.16

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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.