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Finding the Fourth Proportional to 35,580.34, 49,100.79 and 23,005

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Solution

The fourth proportional to 35,580.34, 49,100.79 and 23,005 is: 31,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,580.34 : 49,100.79 = 23,005 : x
  2. Step 2: Convert to fraction form
    35,580.34/49,100.79 = 23,005/x
  3. Step 3: Cross multiply
    35,580.34x = 49,100.79 × 23,005
  4. Step 4: Simplify right side
    35,580.34x = 1,129,563,673.95
  5. Step 5: Solve for x
    x = 1,129,563,673.95/35,580.34
  6. Step 6: Final answer
    x = 31,746.85

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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.