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Finding the Fourth Proportional to 60,409.68, 90,537.75 and 34,129.14

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Solution

The fourth proportional to 60,409.68, 90,537.75 and 34,129.14 is: 51,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,409.68 : 90,537.75 = 34,129.14 : x
  2. Step 2: Convert to fraction form
    60,409.68/90,537.75 = 34,129.14/x
  3. Step 3: Cross multiply
    60,409.68x = 90,537.75 × 34,129.14
  4. Step 4: Simplify right side
    60,409.68x = 3,089,975,545.04
  5. Step 5: Solve for x
    x = 3,089,975,545.04/60,409.68
  6. Step 6: Final answer
    x = 51,150.34

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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.