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Finding the Fourth Proportional to 82,777.62, 114,233.62 and 45,052.26

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Solution

The fourth proportional to 82,777.62, 114,233.62 and 45,052.26 is: 62,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,777.62 : 114,233.62 = 45,052.26 : x
  2. Step 2: Convert to fraction form
    82,777.62/114,233.62 = 45,052.26/x
  3. Step 3: Cross multiply
    82,777.62x = 114,233.62 × 45,052.26
  4. Step 4: Simplify right side
    82,777.62x = 5,146,482,748.98
  5. Step 5: Solve for x
    x = 5,146,482,748.98/82,777.62
  6. Step 6: Final answer
    x = 62,172.39

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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.