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Finding the Fourth Proportional to 32,792.52, 49,190.94 and 9,419.16

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Solution

The fourth proportional to 32,792.52, 49,190.94 and 9,419.16 is: 14,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,792.52 : 49,190.94 = 9,419.16 : x
  2. Step 2: Convert to fraction form
    32,792.52/49,190.94 = 9,419.16/x
  3. Step 3: Cross multiply
    32,792.52x = 49,190.94 × 9,419.16
  4. Step 4: Simplify right side
    32,792.52x = 463,337,334.41
  5. Step 5: Solve for x
    x = 463,337,334.41/32,792.52
  6. Step 6: Final answer
    x = 14,129.36

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1.5x scale

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.