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Finding the Fourth Proportional to 29,762.78, 41,045.42 and 19,701.40

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Solution

The fourth proportional to 29,762.78, 41,045.42 and 19,701.40 is: 27,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.78 : 41,045.42 = 19,701.40 : x
  2. Step 2: Convert to fraction form
    29,762.78/41,045.42 = 19,701.40/x
  3. Step 3: Cross multiply
    29,762.78x = 41,045.42 × 19,701.40
  4. Step 4: Simplify right side
    29,762.78x = 808,652,237.59
  5. Step 5: Solve for x
    x = 808,652,237.59/29,762.78
  6. Step 6: Final answer
    x = 27,169.92

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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.