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Finding the Fourth Proportional to 53,267.79, 79,894.60 and 15,827.16

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Solution

The fourth proportional to 53,267.79, 79,894.60 and 15,827.16 is: 23,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,267.79 : 79,894.60 = 15,827.16 : x
  2. Step 2: Convert to fraction form
    53,267.79/79,894.60 = 15,827.16/x
  3. Step 3: Cross multiply
    53,267.79x = 79,894.60 × 15,827.16
  4. Step 4: Simplify right side
    53,267.79x = 1,264,504,617.34
  5. Step 5: Solve for x
    x = 1,264,504,617.34/53,267.79
  6. Step 6: Final answer
    x = 23,738.63

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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.