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Finding the Fourth Proportional to 61,043.16, 91,506.42 and 19,463.16

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Solution

The fourth proportional to 61,043.16, 91,506.42 and 19,463.16 is: 29,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,043.16 : 91,506.42 = 19,463.16 : x
  2. Step 2: Convert to fraction form
    61,043.16/91,506.42 = 19,463.16/x
  3. Step 3: Cross multiply
    61,043.16x = 91,506.42 × 19,463.16
  4. Step 4: Simplify right side
    61,043.16x = 1,781,004,093.49
  5. Step 5: Solve for x
    x = 1,781,004,093.49/61,043.16
  6. Step 6: Final answer
    x = 29,176.15

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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.