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Finding the Fourth Proportional to 61,371.36, 92,173.74 and 38,160

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Solution

The fourth proportional to 61,371.36, 92,173.74 and 38,160 is: 57,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,371.36 : 92,173.74 = 38,160 : x
  2. Step 2: Convert to fraction form
    61,371.36/92,173.74 = 38,160/x
  3. Step 3: Cross multiply
    61,371.36x = 92,173.74 × 38,160
  4. Step 4: Simplify right side
    61,371.36x = 3,517,349,918.40
  5. Step 5: Solve for x
    x = 3,517,349,918.40/61,371.36
  6. Step 6: Final answer
    x = 57,312.56

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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.