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Finding the Fourth Proportional to 53,048.89, 79,523.89 and 36,416.75

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Solution

The fourth proportional to 53,048.89, 79,523.89 and 36,416.75 is: 54,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,048.89 : 79,523.89 = 36,416.75 : x
  2. Step 2: Convert to fraction form
    53,048.89/79,523.89 = 36,416.75/x
  3. Step 3: Cross multiply
    53,048.89x = 79,523.89 × 36,416.75
  4. Step 4: Simplify right side
    53,048.89x = 2,896,001,728.93
  5. Step 5: Solve for x
    x = 2,896,001,728.93/53,048.89
  6. Step 6: Final answer
    x = 54,591.19

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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.