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Finding the Fourth Proportional to 66,126, 99,189.54 and 24,573

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Solution

The fourth proportional to 66,126, 99,189.54 and 24,573 is: 36,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,126 : 99,189.54 = 24,573 : x
  2. Step 2: Convert to fraction form
    66,126/99,189.54 = 24,573/x
  3. Step 3: Cross multiply
    66,126x = 99,189.54 × 24,573
  4. Step 4: Simplify right side
    66,126x = 2,437,384,566.42
  5. Step 5: Solve for x
    x = 2,437,384,566.42/66,126
  6. Step 6: Final answer
    x = 36,859.70

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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.