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Finding the Fourth Proportional to 66,533.86, 99,770.70 and 19,138.06

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Solution

The fourth proportional to 66,533.86, 99,770.70 and 19,138.06 is: 28,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,533.86 : 99,770.70 = 19,138.06 : x
  2. Step 2: Convert to fraction form
    66,533.86/99,770.70 = 19,138.06/x
  3. Step 3: Cross multiply
    66,533.86x = 99,770.70 × 19,138.06
  4. Step 4: Simplify right side
    66,533.86x = 1,909,417,143.99
  5. Step 5: Solve for x
    x = 1,909,417,143.99/66,533.86
  6. Step 6: Final answer
    x = 28,698.43

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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.