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Finding the Fourth Proportional to 46,771.52, 64,523.04 and 26,888

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Solution

The fourth proportional to 46,771.52, 64,523.04 and 26,888 is: 37,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,771.52 : 64,523.04 = 26,888 : x
  2. Step 2: Convert to fraction form
    46,771.52/64,523.04 = 26,888/x
  3. Step 3: Cross multiply
    46,771.52x = 64,523.04 × 26,888
  4. Step 4: Simplify right side
    46,771.52x = 1,734,895,499.52
  5. Step 5: Solve for x
    x = 1,734,895,499.52/46,771.52
  6. Step 6: Final answer
    x = 37,092.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.