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Finding the Fourth Proportional to 31,642.65, 47,466.41 and 9,454.32

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Solution

The fourth proportional to 31,642.65, 47,466.41 and 9,454.32 is: 14,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.65 : 47,466.41 = 9,454.32 : x
  2. Step 2: Convert to fraction form
    31,642.65/47,466.41 = 9,454.32/x
  3. Step 3: Cross multiply
    31,642.65x = 47,466.41 × 9,454.32
  4. Step 4: Simplify right side
    31,642.65x = 448,762,582.12
  5. Step 5: Solve for x
    x = 448,762,582.12/31,642.65
  6. Step 6: Final answer
    x = 14,182.21

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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.