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Finding the Fourth Proportional to 59,368.64, 89,044.24 and 22,424

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Solution

The fourth proportional to 59,368.64, 89,044.24 and 22,424 is: 33,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,368.64 : 89,044.24 = 22,424 : x
  2. Step 2: Convert to fraction form
    59,368.64/89,044.24 = 22,424/x
  3. Step 3: Cross multiply
    59,368.64x = 89,044.24 × 22,424
  4. Step 4: Simplify right side
    59,368.64x = 1,996,728,037.76
  5. Step 5: Solve for x
    x = 1,996,728,037.76/59,368.64
  6. Step 6: Final answer
    x = 33,632.71

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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.