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Finding the Fourth Proportional to 71,502.87, 98,688.32 and 41,293.11

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Solution

The fourth proportional to 71,502.87, 98,688.32 and 41,293.11 is: 56,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,502.87 : 98,688.32 = 41,293.11 : x
  2. Step 2: Convert to fraction form
    71,502.87/98,688.32 = 41,293.11/x
  3. Step 3: Cross multiply
    71,502.87x = 98,688.32 × 41,293.11
  4. Step 4: Simplify right side
    71,502.87x = 4,075,147,653.48
  5. Step 5: Solve for x
    x = 4,075,147,653.48/71,502.87
  6. Step 6: Final answer
    x = 56,992.78

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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.