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Finding the Fourth Proportional to 64,583, 89,161.08 and 41,942.24

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Solution

The fourth proportional to 64,583, 89,161.08 and 41,942.24 is: 57,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,583 : 89,161.08 = 41,942.24 : x
  2. Step 2: Convert to fraction form
    64,583/89,161.08 = 41,942.24/x
  3. Step 3: Cross multiply
    64,583x = 89,161.08 × 41,942.24
  4. Step 4: Simplify right side
    64,583x = 3,739,615,416.02
  5. Step 5: Solve for x
    x = 3,739,615,416.02/64,583
  6. Step 6: Final answer
    x = 57,904.02

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1.5x scale

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.