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Finding the Fourth Proportional to 102,641.10, 153,965.92 and 35,219.49

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Solution

The fourth proportional to 102,641.10, 153,965.92 and 35,219.49 is: 52,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,641.10 : 153,965.92 = 35,219.49 : x
  2. Step 2: Convert to fraction form
    102,641.10/153,965.92 = 35,219.49/x
  3. Step 3: Cross multiply
    102,641.10x = 153,965.92 × 35,219.49
  4. Step 4: Simplify right side
    102,641.10x = 5,422,600,580.40
  5. Step 5: Solve for x
    x = 5,422,600,580.40/102,641.10
  6. Step 6: Final answer
    x = 52,830.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.