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Finding the Fourth Proportional to 76,666.42, 114,960.72 and 35,077.78

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Solution

The fourth proportional to 76,666.42, 114,960.72 and 35,077.78 is: 52,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,666.42 : 114,960.72 = 35,077.78 : x
  2. Step 2: Convert to fraction form
    76,666.42/114,960.72 = 35,077.78/x
  3. Step 3: Cross multiply
    76,666.42x = 114,960.72 × 35,077.78
  4. Step 4: Simplify right side
    76,666.42x = 4,032,566,844.80
  5. Step 5: Solve for x
    x = 4,032,566,844.80/76,666.42
  6. Step 6: Final answer
    x = 52,598.87

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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.