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Finding the Fourth Proportional to 53,091.46, 79,648.72 and 16,154.50

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Solution

The fourth proportional to 53,091.46, 79,648.72 and 16,154.50 is: 24,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,091.46 : 79,648.72 = 16,154.50 : x
  2. Step 2: Convert to fraction form
    53,091.46/79,648.72 = 16,154.50/x
  3. Step 3: Cross multiply
    53,091.46x = 79,648.72 × 16,154.50
  4. Step 4: Simplify right side
    53,091.46x = 1,286,685,247.24
  5. Step 5: Solve for x
    x = 1,286,685,247.24/53,091.46
  6. Step 6: Final answer
    x = 24,235.26

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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.