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Finding the Fourth Proportional to 35,842.80, 53,807.40 and 20,060.40

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Solution

The fourth proportional to 35,842.80, 53,807.40 and 20,060.40 is: 30,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.80 : 53,807.40 = 20,060.40 : x
  2. Step 2: Convert to fraction form
    35,842.80/53,807.40 = 20,060.40/x
  3. Step 3: Cross multiply
    35,842.80x = 53,807.40 × 20,060.40
  4. Step 4: Simplify right side
    35,842.80x = 1,079,397,966.96
  5. Step 5: Solve for x
    x = 1,079,397,966.96/35,842.80
  6. Step 6: Final answer
    x = 30,114.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.