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Finding the Fourth Proportional to 75,877.72, 104,717.06 and 41,892.76

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Solution

The fourth proportional to 75,877.72, 104,717.06 and 41,892.76 is: 57,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,877.72 : 104,717.06 = 41,892.76 : x
  2. Step 2: Convert to fraction form
    75,877.72/104,717.06 = 41,892.76/x
  3. Step 3: Cross multiply
    75,877.72x = 104,717.06 × 41,892.76
  4. Step 4: Simplify right side
    75,877.72x = 4,386,886,662.49
  5. Step 5: Solve for x
    x = 4,386,886,662.49/75,877.72
  6. Step 6: Final answer
    x = 57,815.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.