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Finding the Fourth Proportional to 52,541.96, 78,709.26 and 39,409.16

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Solution

The fourth proportional to 52,541.96, 78,709.26 and 39,409.16 is: 59,035.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,541.96 : 78,709.26 = 39,409.16 : x
  2. Step 2: Convert to fraction form
    52,541.96/78,709.26 = 39,409.16/x
  3. Step 3: Cross multiply
    52,541.96x = 78,709.26 × 39,409.16
  4. Step 4: Simplify right side
    52,541.96x = 3,101,865,820.82
  5. Step 5: Solve for x
    x = 3,101,865,820.82/52,541.96
  6. Step 6: Final answer
    x = 59,035.97

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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.