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Finding the Fourth Proportional to 42,416.52, 63,624.76 and 12,833.68

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Solution

The fourth proportional to 42,416.52, 63,624.76 and 12,833.68 is: 19,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,416.52 : 63,624.76 = 12,833.68 : x
  2. Step 2: Convert to fraction form
    42,416.52/63,624.76 = 12,833.68/x
  3. Step 3: Cross multiply
    42,416.52x = 63,624.76 × 12,833.68
  4. Step 4: Simplify right side
    42,416.52x = 816,539,809.92
  5. Step 5: Solve for x
    x = 816,539,809.92/42,416.52
  6. Step 6: Final answer
    x = 19,250.51

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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.