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Finding the Fourth Proportional to 56,333.84, 77,740.86 and 30,840.42

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Solution

The fourth proportional to 56,333.84, 77,740.86 and 30,840.42 is: 42,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,333.84 : 77,740.86 = 30,840.42 : x
  2. Step 2: Convert to fraction form
    56,333.84/77,740.86 = 30,840.42/x
  3. Step 3: Cross multiply
    56,333.84x = 77,740.86 × 30,840.42
  4. Step 4: Simplify right side
    56,333.84x = 2,397,560,773.56
  5. Step 5: Solve for x
    x = 2,397,560,773.56/56,333.84
  6. Step 6: Final answer
    x = 42,559.87

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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.