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Finding the Fourth Proportional to 59,759.32, 89,624.40 and 24,709

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Solution

The fourth proportional to 59,759.32, 89,624.40 and 24,709 is: 37,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,759.32 : 89,624.40 = 24,709 : x
  2. Step 2: Convert to fraction form
    59,759.32/89,624.40 = 24,709/x
  3. Step 3: Cross multiply
    59,759.32x = 89,624.40 × 24,709
  4. Step 4: Simplify right side
    59,759.32x = 2,214,529,299.60
  5. Step 5: Solve for x
    x = 2,214,529,299.60/59,759.32
  6. Step 6: Final answer
    x = 37,057.47

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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.