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Finding the Fourth Proportional to 36,024.24, 53,978.04 and 27,276.24

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Solution

The fourth proportional to 36,024.24, 53,978.04 and 27,276.24 is: 40,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024.24 : 53,978.04 = 27,276.24 : x
  2. Step 2: Convert to fraction form
    36,024.24/53,978.04 = 27,276.24/x
  3. Step 3: Cross multiply
    36,024.24x = 53,978.04 × 27,276.24
  4. Step 4: Simplify right side
    36,024.24x = 1,472,317,973.77
  5. Step 5: Solve for x
    x = 1,472,317,973.77/36,024.24
  6. Step 6: Final answer
    x = 40,870.20

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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.