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Finding the Fourth Proportional to 42,211.50, 63,339.12 and 21,435

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Solution

The fourth proportional to 42,211.50, 63,339.12 and 21,435 is: 32,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,211.50 : 63,339.12 = 21,435 : x
  2. Step 2: Convert to fraction form
    42,211.50/63,339.12 = 21,435/x
  3. Step 3: Cross multiply
    42,211.50x = 63,339.12 × 21,435
  4. Step 4: Simplify right side
    42,211.50x = 1,357,674,037.20
  5. Step 5: Solve for x
    x = 1,357,674,037.20/42,211.50
  6. Step 6: Final answer
    x = 32,163.61

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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.