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Finding the Fourth Proportional to 61,023.84, 84,169.32 and 37,152

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Solution

The fourth proportional to 61,023.84, 84,169.32 and 37,152 is: 51,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,023.84 : 84,169.32 = 37,152 : x
  2. Step 2: Convert to fraction form
    61,023.84/84,169.32 = 37,152/x
  3. Step 3: Cross multiply
    61,023.84x = 84,169.32 × 37,152
  4. Step 4: Simplify right side
    61,023.84x = 3,127,058,576.64
  5. Step 5: Solve for x
    x = 3,127,058,576.64/61,023.84
  6. Step 6: Final answer
    x = 51,243.23

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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.