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Finding the Fourth Proportional to 105,159.55, 157,764.44 and 35,039.47

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Solution

The fourth proportional to 105,159.55, 157,764.44 and 35,039.47 is: 52,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,159.55 : 157,764.44 = 35,039.47 : x
  2. Step 2: Convert to fraction form
    105,159.55/157,764.44 = 35,039.47/x
  3. Step 3: Cross multiply
    105,159.55x = 157,764.44 × 35,039.47
  4. Step 4: Simplify right side
    105,159.55x = 5,527,982,187.25
  5. Step 5: Solve for x
    x = 5,527,982,187.25/105,159.55
  6. Step 6: Final answer
    x = 52,567.57

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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.