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Finding the Fourth Proportional to 105,775.83, 158,664.24 and 35,655.75

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Solution

The fourth proportional to 105,775.83, 158,664.24 and 35,655.75 is: 53,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,775.83 : 158,664.24 = 35,655.75 : x
  2. Step 2: Convert to fraction form
    105,775.83/158,664.24 = 35,655.75/x
  3. Step 3: Cross multiply
    105,775.83x = 158,664.24 × 35,655.75
  4. Step 4: Simplify right side
    105,775.83x = 5,657,292,475.38
  5. Step 5: Solve for x
    x = 5,657,292,475.38/105,775.83
  6. Step 6: Final answer
    x = 53,483.79

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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.