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Finding the Fourth Proportional to 110,045.98, 165,047.10 and 53,861.95

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Solution

The fourth proportional to 110,045.98, 165,047.10 and 53,861.95 is: 80,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,045.98 : 165,047.10 = 53,861.95 : x
  2. Step 2: Convert to fraction form
    110,045.98/165,047.10 = 53,861.95/x
  3. Step 3: Cross multiply
    110,045.98x = 165,047.10 × 53,861.95
  4. Step 4: Simplify right side
    110,045.98x = 8,889,758,647.85
  5. Step 5: Solve for x
    x = 8,889,758,647.85/110,045.98
  6. Step 6: Final answer
    x = 80,782.22

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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.