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Finding the Fourth Proportional to 35,337, 53,005.62 and 10,713

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Solution

The fourth proportional to 35,337, 53,005.62 and 10,713 is: 16,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,337 : 53,005.62 = 10,713 : x
  2. Step 2: Convert to fraction form
    35,337/53,005.62 = 10,713/x
  3. Step 3: Cross multiply
    35,337x = 53,005.62 × 10,713
  4. Step 4: Simplify right side
    35,337x = 567,849,207.06
  5. Step 5: Solve for x
    x = 567,849,207.06/35,337
  6. Step 6: Final answer
    x = 16,069.54

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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.