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Finding the Fourth Proportional to 78,097.36, 107,776.20 and 44,566.48

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Solution

The fourth proportional to 78,097.36, 107,776.20 and 44,566.48 is: 61,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,097.36 : 107,776.20 = 44,566.48 : x
  2. Step 2: Convert to fraction form
    78,097.36/107,776.20 = 44,566.48/x
  3. Step 3: Cross multiply
    78,097.36x = 107,776.20 × 44,566.48
  4. Step 4: Simplify right side
    78,097.36x = 4,803,205,861.78
  5. Step 5: Solve for x
    x = 4,803,205,861.78/78,097.36
  6. Step 6: Final answer
    x = 61,502.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.