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Finding the Fourth Proportional to 42,970.92, 59,299.62 and 24,108

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Solution

The fourth proportional to 42,970.92, 59,299.62 and 24,108 is: 33,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,970.92 : 59,299.62 = 24,108 : x
  2. Step 2: Convert to fraction form
    42,970.92/59,299.62 = 24,108/x
  3. Step 3: Cross multiply
    42,970.92x = 59,299.62 × 24,108
  4. Step 4: Simplify right side
    42,970.92x = 1,429,595,238.96
  5. Step 5: Solve for x
    x = 1,429,595,238.96/42,970.92
  6. Step 6: Final answer
    x = 33,268.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.