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Finding the Fourth Proportional to 31,533.36, 47,290.32 and 10,752

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Solution

The fourth proportional to 31,533.36, 47,290.32 and 10,752 is: 16,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533.36 : 47,290.32 = 10,752 : x
  2. Step 2: Convert to fraction form
    31,533.36/47,290.32 = 10,752/x
  3. Step 3: Cross multiply
    31,533.36x = 47,290.32 × 10,752
  4. Step 4: Simplify right side
    31,533.36x = 508,465,520.64
  5. Step 5: Solve for x
    x = 508,465,520.64/31,533.36
  6. Step 6: Final answer
    x = 16,124.69

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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.