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Finding the Fourth Proportional to 32,142.82, 48,216.48 and 9,953.32

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Solution

The fourth proportional to 32,142.82, 48,216.48 and 9,953.32 is: 14,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.82 : 48,216.48 = 9,953.32 : x
  2. Step 2: Convert to fraction form
    32,142.82/48,216.48 = 9,953.32/x
  3. Step 3: Cross multiply
    32,142.82x = 48,216.48 × 9,953.32
  4. Step 4: Simplify right side
    32,142.82x = 479,914,054.71
  5. Step 5: Solve for x
    x = 479,914,054.71/32,142.82
  6. Step 6: Final answer
    x = 14,930.68

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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.