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Finding the Fourth Proportional to 55,774.22, 83,649.02 and 16,334.40

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Solution

The fourth proportional to 55,774.22, 83,649.02 and 16,334.40 is: 24,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,774.22 : 83,649.02 = 16,334.40 : x
  2. Step 2: Convert to fraction form
    55,774.22/83,649.02 = 16,334.40/x
  3. Step 3: Cross multiply
    55,774.22x = 83,649.02 × 16,334.40
  4. Step 4: Simplify right side
    55,774.22x = 1,366,356,470.62
  5. Step 5: Solve for x
    x = 1,366,356,470.62/55,774.22
  6. Step 6: Final answer
    x = 24,498.00

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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.