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Finding the Fourth Proportional to 105,305.76, 157,966.80 and 35,185.32

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Solution

The fourth proportional to 105,305.76, 157,966.80 and 35,185.32 is: 52,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,305.76 : 157,966.80 = 35,185.32 : x
  2. Step 2: Convert to fraction form
    105,305.76/157,966.80 = 35,185.32/x
  3. Step 3: Cross multiply
    105,305.76x = 157,966.80 × 35,185.32
  4. Step 4: Simplify right side
    105,305.76x = 5,558,112,407.38
  5. Step 5: Solve for x
    x = 5,558,112,407.38/105,305.76
  6. Step 6: Final answer
    x = 52,780.71

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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.