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Finding the Fourth Proportional to 27,102.79, 40,497.24 and 19,570.50

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Solution

The fourth proportional to 27,102.79, 40,497.24 and 19,570.50 is: 29,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.79 : 40,497.24 = 19,570.50 : x
  2. Step 2: Convert to fraction form
    27,102.79/40,497.24 = 19,570.50/x
  3. Step 3: Cross multiply
    27,102.79x = 40,497.24 × 19,570.50
  4. Step 4: Simplify right side
    27,102.79x = 792,551,235.42
  5. Step 5: Solve for x
    x = 792,551,235.42/27,102.79
  6. Step 6: Final answer
    x = 29,242.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.