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Finding the Fourth Proportional to 106,427.52, 159,641.28 and 43,254

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Solution

The fourth proportional to 106,427.52, 159,641.28 and 43,254 is: 64,881

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,427.52 : 159,641.28 = 43,254 : x
  2. Step 2: Convert to fraction form
    106,427.52/159,641.28 = 43,254/x
  3. Step 3: Cross multiply
    106,427.52x = 159,641.28 × 43,254
  4. Step 4: Simplify right side
    106,427.52x = 6,905,123,925.12
  5. Step 5: Solve for x
    x = 6,905,123,925.12/106,427.52
  6. Step 6: Final answer
    x = 64,881

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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.