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Finding the Fourth Proportional to 106,322.63, 159,484.55 and 27,431.46

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Solution

The fourth proportional to 106,322.63, 159,484.55 and 27,431.46 is: 41,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,322.63 : 159,484.55 = 27,431.46 : x
  2. Step 2: Convert to fraction form
    106,322.63/159,484.55 = 27,431.46/x
  3. Step 3: Cross multiply
    106,322.63x = 159,484.55 × 27,431.46
  4. Step 4: Simplify right side
    106,322.63x = 4,374,893,916.79
  5. Step 5: Solve for x
    x = 4,374,893,916.79/106,322.63
  6. Step 6: Final answer
    x = 41,147.35

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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.