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Finding the Fourth Proportional to 53,807.20, 80,710.80 and 34,172.80

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Solution

The fourth proportional to 53,807.20, 80,710.80 and 34,172.80 is: 51,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,807.20 : 80,710.80 = 34,172.80 : x
  2. Step 2: Convert to fraction form
    53,807.20/80,710.80 = 34,172.80/x
  3. Step 3: Cross multiply
    53,807.20x = 80,710.80 × 34,172.80
  4. Step 4: Simplify right side
    53,807.20x = 2,758,114,026.24
  5. Step 5: Solve for x
    x = 2,758,114,026.24/53,807.20
  6. Step 6: Final answer
    x = 51,259.20

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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.