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Finding the Fourth Proportional to 35,334, 53,001.09 and 10,710

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Solution

The fourth proportional to 35,334, 53,001.09 and 10,710 is: 16,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,334 : 53,001.09 = 10,710 : x
  2. Step 2: Convert to fraction form
    35,334/53,001.09 = 10,710/x
  3. Step 3: Cross multiply
    35,334x = 53,001.09 × 10,710
  4. Step 4: Simplify right side
    35,334x = 567,641,673.90
  5. Step 5: Solve for x
    x = 567,641,673.90/35,334
  6. Step 6: Final answer
    x = 16,065.03

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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.