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Finding the Fourth Proportional to 74,927.50, 112,391.25 and 19,523.50

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Solution

The fourth proportional to 74,927.50, 112,391.25 and 19,523.50 is: 29,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,927.50 : 112,391.25 = 19,523.50 : x
  2. Step 2: Convert to fraction form
    74,927.50/112,391.25 = 19,523.50/x
  3. Step 3: Cross multiply
    74,927.50x = 112,391.25 × 19,523.50
  4. Step 4: Simplify right side
    74,927.50x = 2,194,270,569.38
  5. Step 5: Solve for x
    x = 2,194,270,569.38/74,927.50
  6. Step 6: Final answer
    x = 29,285.25

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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.