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Finding the Fourth Proportional to 35,657.69, 53,486.82 and 10,697.94

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Solution

The fourth proportional to 35,657.69, 53,486.82 and 10,697.94 is: 16,047.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.69 : 53,486.82 = 10,697.94 : x
  2. Step 2: Convert to fraction form
    35,657.69/53,486.82 = 10,697.94/x
  3. Step 3: Cross multiply
    35,657.69x = 53,486.82 × 10,697.94
  4. Step 4: Simplify right side
    35,657.69x = 572,198,791.15
  5. Step 5: Solve for x
    x = 572,198,791.15/35,657.69
  6. Step 6: Final answer
    x = 16,047.00

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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.