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Finding the Fourth Proportional to 35,052, 52,575 and 12,864.48

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Solution

The fourth proportional to 35,052, 52,575 and 12,864.48 is: 19,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,052 : 52,575 = 12,864.48 : x
  2. Step 2: Convert to fraction form
    35,052/52,575 = 12,864.48/x
  3. Step 3: Cross multiply
    35,052x = 52,575 × 12,864.48
  4. Step 4: Simplify right side
    35,052x = 676,350,036
  5. Step 5: Solve for x
    x = 676,350,036/35,052
  6. Step 6: Final answer
    x = 19,295.62

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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.