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Finding the Fourth Proportional to 109,643.78, 164,507.76 and 38,573.82

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Solution

The fourth proportional to 109,643.78, 164,507.76 and 38,573.82 is: 57,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,643.78 : 164,507.76 = 38,573.82 : x
  2. Step 2: Convert to fraction form
    109,643.78/164,507.76 = 38,573.82/x
  3. Step 3: Cross multiply
    109,643.78x = 164,507.76 × 38,573.82
  4. Step 4: Simplify right side
    109,643.78x = 6,345,692,722.84
  5. Step 5: Solve for x
    x = 6,345,692,722.84/109,643.78
  6. Step 6: Final answer
    x = 57,875.54

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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.