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Finding the Fourth Proportional to 109,953.68, 164,933.60 and 38,866.28

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Solution

The fourth proportional to 109,953.68, 164,933.60 and 38,866.28 is: 58,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,953.68 : 164,933.60 = 38,866.28 : x
  2. Step 2: Convert to fraction form
    109,953.68/164,933.60 = 38,866.28/x
  3. Step 3: Cross multiply
    109,953.68x = 164,933.60 × 38,866.28
  4. Step 4: Simplify right side
    109,953.68x = 6,410,354,460.01
  5. Step 5: Solve for x
    x = 6,410,354,460.01/109,953.68
  6. Step 6: Final answer
    x = 58,300.50

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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.