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Finding the Fourth Proportional to 65,252.64, 97,879.02 and 16,004.64

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Solution

The fourth proportional to 65,252.64, 97,879.02 and 16,004.64 is: 24,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252.64 : 97,879.02 = 16,004.64 : x
  2. Step 2: Convert to fraction form
    65,252.64/97,879.02 = 16,004.64/x
  3. Step 3: Cross multiply
    65,252.64x = 97,879.02 × 16,004.64
  4. Step 4: Simplify right side
    65,252.64x = 1,566,518,478.65
  5. Step 5: Solve for x
    x = 1,566,518,478.65/65,252.64
  6. Step 6: Final answer
    x = 24,006.97

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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.