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Finding the Fourth Proportional to 32,175.32, 48,265.24 and 9,985.74

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Solution

The fourth proportional to 32,175.32, 48,265.24 and 9,985.74 is: 14,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.32 : 48,265.24 = 9,985.74 : x
  2. Step 2: Convert to fraction form
    32,175.32/48,265.24 = 9,985.74/x
  3. Step 3: Cross multiply
    32,175.32x = 48,265.24 × 9,985.74
  4. Step 4: Simplify right side
    32,175.32x = 481,964,137.68
  5. Step 5: Solve for x
    x = 481,964,137.68/32,175.32
  6. Step 6: Final answer
    x = 14,979.31

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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.