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Finding the Fourth Proportional to 53,410.80, 80,051.40 and 23,797.20

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Solution

The fourth proportional to 53,410.80, 80,051.40 and 23,797.20 is: 35,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,410.80 : 80,051.40 = 23,797.20 : x
  2. Step 2: Convert to fraction form
    53,410.80/80,051.40 = 23,797.20/x
  3. Step 3: Cross multiply
    53,410.80x = 80,051.40 × 23,797.20
  4. Step 4: Simplify right side
    53,410.80x = 1,904,999,176.08
  5. Step 5: Solve for x
    x = 1,904,999,176.08/53,410.80
  6. Step 6: Final answer
    x = 35,666.93

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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.