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Finding the Fourth Proportional to 35,779.69, 53,694.14 and 12,406.13

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Solution

The fourth proportional to 35,779.69, 53,694.14 and 12,406.13 is: 18,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,779.69 : 53,694.14 = 12,406.13 : x
  2. Step 2: Convert to fraction form
    35,779.69/53,694.14 = 12,406.13/x
  3. Step 3: Cross multiply
    35,779.69x = 53,694.14 × 12,406.13
  4. Step 4: Simplify right side
    35,779.69x = 666,136,351.93
  5. Step 5: Solve for x
    x = 666,136,351.93/35,779.69
  6. Step 6: Final answer
    x = 18,617.72

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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.