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Finding the Fourth Proportional to 70,767.82, 97,577.78 and 56,416.44

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Solution

The fourth proportional to 70,767.82, 97,577.78 and 56,416.44 is: 77,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,767.82 : 97,577.78 = 56,416.44 : x
  2. Step 2: Convert to fraction form
    70,767.82/97,577.78 = 56,416.44/x
  3. Step 3: Cross multiply
    70,767.82x = 97,577.78 × 56,416.44
  4. Step 4: Simplify right side
    70,767.82x = 5,504,990,970.70
  5. Step 5: Solve for x
    x = 5,504,990,970.70/70,767.82
  6. Step 6: Final answer
    x = 77,789.47

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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.