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Finding the Fourth Proportional to 35,666.38, 53,499.50 and 10,706.39

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Solution

The fourth proportional to 35,666.38, 53,499.50 and 10,706.39 is: 16,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,666.38 : 53,499.50 = 10,706.39 : x
  2. Step 2: Convert to fraction form
    35,666.38/53,499.50 = 10,706.39/x
  3. Step 3: Cross multiply
    35,666.38x = 53,499.50 × 10,706.39
  4. Step 4: Simplify right side
    35,666.38x = 572,786,511.81
  5. Step 5: Solve for x
    x = 572,786,511.81/35,666.38
  6. Step 6: Final answer
    x = 16,059.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.