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Finding the Fourth Proportional to 52,805.01, 78,736.49 and 46,937.01

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Solution

The fourth proportional to 52,805.01, 78,736.49 and 46,937.01 is: 69,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,805.01 : 78,736.49 = 46,937.01 : x
  2. Step 2: Convert to fraction form
    52,805.01/78,736.49 = 46,937.01/x
  3. Step 3: Cross multiply
    52,805.01x = 78,736.49 × 46,937.01
  4. Step 4: Simplify right side
    52,805.01x = 3,695,654,790.13
  5. Step 5: Solve for x
    x = 3,695,654,790.13/52,805.01
  6. Step 6: Final answer
    x = 69,986.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.