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Finding the Fourth Proportional to 77,484.02, 116,225.49 and 22,080.02

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Solution

The fourth proportional to 77,484.02, 116,225.49 and 22,080.02 is: 33,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,484.02 : 116,225.49 = 22,080.02 : x
  2. Step 2: Convert to fraction form
    77,484.02/116,225.49 = 22,080.02/x
  3. Step 3: Cross multiply
    77,484.02x = 116,225.49 × 22,080.02
  4. Step 4: Simplify right side
    77,484.02x = 2,566,261,143.71
  5. Step 5: Solve for x
    x = 2,566,261,143.71/77,484.02
  6. Step 6: Final answer
    x = 33,119.88

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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.