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Finding the Fourth Proportional to 105,764.66, 158,657.93 and 35,649.44

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Solution

The fourth proportional to 105,764.66, 158,657.93 and 35,649.44 is: 53,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,764.66 : 158,657.93 = 35,649.44 : x
  2. Step 2: Convert to fraction form
    105,764.66/158,657.93 = 35,649.44/x
  3. Step 3: Cross multiply
    105,764.66x = 158,657.93 × 35,649.44
  4. Step 4: Simplify right side
    105,764.66x = 5,656,065,384.52
  5. Step 5: Solve for x
    x = 5,656,065,384.52/105,764.66
  6. Step 6: Final answer
    x = 53,477.84

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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.