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Finding the Fourth Proportional to 73,819, 101,875.70 and 41,998.15

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Solution

The fourth proportional to 73,819, 101,875.70 and 41,998.15 is: 57,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,819 : 101,875.70 = 41,998.15 : x
  2. Step 2: Convert to fraction form
    73,819/101,875.70 = 41,998.15/x
  3. Step 3: Cross multiply
    73,819x = 101,875.70 × 41,998.15
  4. Step 4: Simplify right side
    73,819x = 4,278,590,719.96
  5. Step 5: Solve for x
    x = 4,278,590,719.96/73,819
  6. Step 6: Final answer
    x = 57,960.56

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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.