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Finding the Fourth Proportional to 35,477, 53,215.52 and 10,853

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Solution

The fourth proportional to 35,477, 53,215.52 and 10,853 is: 16,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,477 : 53,215.52 = 10,853 : x
  2. Step 2: Convert to fraction form
    35,477/53,215.52 = 10,853/x
  3. Step 3: Cross multiply
    35,477x = 53,215.52 × 10,853
  4. Step 4: Simplify right side
    35,477x = 577,548,038.56
  5. Step 5: Solve for x
    x = 577,548,038.56/35,477
  6. Step 6: Final answer
    x = 16,279.51

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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.