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Finding the Fourth Proportional to 109,539, 164,308.86 and 26,433

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Solution

The fourth proportional to 109,539, 164,308.86 and 26,433 is: 39,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,539 : 164,308.86 = 26,433 : x
  2. Step 2: Convert to fraction form
    109,539/164,308.86 = 26,433/x
  3. Step 3: Cross multiply
    109,539x = 164,308.86 × 26,433
  4. Step 4: Simplify right side
    109,539x = 4,343,176,096.38
  5. Step 5: Solve for x
    x = 4,343,176,096.38/109,539
  6. Step 6: Final answer
    x = 39,649.59

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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.