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Finding the Fourth Proportional to 35,356.64, 53,023.62 and 11,658.86

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Solution

The fourth proportional to 35,356.64, 53,023.62 and 11,658.86 is: 17,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,356.64 : 53,023.62 = 11,658.86 : x
  2. Step 2: Convert to fraction form
    35,356.64/53,023.62 = 11,658.86/x
  3. Step 3: Cross multiply
    35,356.64x = 53,023.62 × 11,658.86
  4. Step 4: Simplify right side
    35,356.64x = 618,194,638.86
  5. Step 5: Solve for x
    x = 618,194,638.86/35,356.64
  6. Step 6: Final answer
    x = 17,484.54

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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.