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Finding the Fourth Proportional to 53,039.30, 79,538.10 and 19,741.14

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Solution

The fourth proportional to 53,039.30, 79,538.10 and 19,741.14 is: 29,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,039.30 : 79,538.10 = 19,741.14 : x
  2. Step 2: Convert to fraction form
    53,039.30/79,538.10 = 19,741.14/x
  3. Step 3: Cross multiply
    53,039.30x = 79,538.10 × 19,741.14
  4. Step 4: Simplify right side
    53,039.30x = 1,570,172,767.43
  5. Step 5: Solve for x
    x = 1,570,172,767.43/53,039.30
  6. Step 6: Final answer
    x = 29,603.95

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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.