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Finding the Fourth Proportional to 31,841.72, 47,762.66 and 8,468.16

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Solution

The fourth proportional to 31,841.72, 47,762.66 and 8,468.16 is: 12,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.72 : 47,762.66 = 8,468.16 : x
  2. Step 2: Convert to fraction form
    31,841.72/47,762.66 = 8,468.16/x
  3. Step 3: Cross multiply
    31,841.72x = 47,762.66 × 8,468.16
  4. Step 4: Simplify right side
    31,841.72x = 404,461,957.63
  5. Step 5: Solve for x
    x = 404,461,957.63/31,841.72
  6. Step 6: Final answer
    x = 12,702.26

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1.5x scale

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.