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Finding the Fourth Proportional to 53,694.50, 74,099.40 and 29,823.40

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Solution

The fourth proportional to 53,694.50, 74,099.40 and 29,823.40 is: 41,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,694.50 : 74,099.40 = 29,823.40 : x
  2. Step 2: Convert to fraction form
    53,694.50/74,099.40 = 29,823.40/x
  3. Step 3: Cross multiply
    53,694.50x = 74,099.40 × 29,823.40
  4. Step 4: Simplify right side
    53,694.50x = 2,209,896,045.96
  5. Step 5: Solve for x
    x = 2,209,896,045.96/53,694.50
  6. Step 6: Final answer
    x = 41,156.84

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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.