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Finding the Fourth Proportional to 35,542, 53,313.32 and 12,168.64

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Solution

The fourth proportional to 35,542, 53,313.32 and 12,168.64 is: 18,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,542 : 53,313.32 = 12,168.64 : x
  2. Step 2: Convert to fraction form
    35,542/53,313.32 = 12,168.64/x
  3. Step 3: Cross multiply
    35,542x = 53,313.32 × 12,168.64
  4. Step 4: Simplify right side
    35,542x = 648,750,598.28
  5. Step 5: Solve for x
    x = 648,750,598.28/35,542
  6. Step 6: Final answer
    x = 18,253.07

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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.