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Finding the Fourth Proportional to 34,423.68, 51,642 and 11,048.16

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Solution

The fourth proportional to 34,423.68, 51,642 and 11,048.16 is: 16,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,423.68 : 51,642 = 11,048.16 : x
  2. Step 2: Convert to fraction form
    34,423.68/51,642 = 11,048.16/x
  3. Step 3: Cross multiply
    34,423.68x = 51,642 × 11,048.16
  4. Step 4: Simplify right side
    34,423.68x = 570,549,078.72
  5. Step 5: Solve for x
    x = 570,549,078.72/34,423.68
  6. Step 6: Final answer
    x = 16,574.32

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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.