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Finding the Fourth Proportional to 42,970.50, 59,299.83 and 23,850.72

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Solution

The fourth proportional to 42,970.50, 59,299.83 and 23,850.72 is: 32,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,970.50 : 59,299.83 = 23,850.72 : x
  2. Step 2: Convert to fraction form
    42,970.50/59,299.83 = 23,850.72/x
  3. Step 3: Cross multiply
    42,970.50x = 59,299.83 × 23,850.72
  4. Step 4: Simplify right side
    42,970.50x = 1,414,343,641.38
  5. Step 5: Solve for x
    x = 1,414,343,641.38/42,970.50
  6. Step 6: Final answer
    x = 32,914.29

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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.