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Finding the Fourth Proportional to 57,409.53, 86,111.91 and 19,978.08

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Solution

The fourth proportional to 57,409.53, 86,111.91 and 19,978.08 is: 29,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,409.53 : 86,111.91 = 19,978.08 : x
  2. Step 2: Convert to fraction form
    57,409.53/86,111.91 = 19,978.08/x
  3. Step 3: Cross multiply
    57,409.53x = 86,111.91 × 19,978.08
  4. Step 4: Simplify right side
    57,409.53x = 1,720,350,626.93
  5. Step 5: Solve for x
    x = 1,720,350,626.93/57,409.53
  6. Step 6: Final answer
    x = 29,966.29

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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.