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Finding the Fourth Proportional to 76,398.70, 114,597.78 and 23,808.22

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Solution

The fourth proportional to 76,398.70, 114,597.78 and 23,808.22 is: 35,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,398.70 : 114,597.78 = 23,808.22 : x
  2. Step 2: Convert to fraction form
    76,398.70/114,597.78 = 23,808.22/x
  3. Step 3: Cross multiply
    76,398.70x = 114,597.78 × 23,808.22
  4. Step 4: Simplify right side
    76,398.70x = 2,728,369,157.75
  5. Step 5: Solve for x
    x = 2,728,369,157.75/76,398.70
  6. Step 6: Final answer
    x = 35,712.25

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1.5x scale

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.