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Finding the Fourth Proportional to 61,128.12, 84,353.76 and 35,976

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Solution

The fourth proportional to 61,128.12, 84,353.76 and 35,976 is: 49,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,128.12 : 84,353.76 = 35,976 : x
  2. Step 2: Convert to fraction form
    61,128.12/84,353.76 = 35,976/x
  3. Step 3: Cross multiply
    61,128.12x = 84,353.76 × 35,976
  4. Step 4: Simplify right side
    61,128.12x = 3,034,710,869.76
  5. Step 5: Solve for x
    x = 3,034,710,869.76/61,128.12
  6. Step 6: Final answer
    x = 49,645.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.