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Finding the Fourth Proportional to 32,646.42, 48,969.64 and 8,954.21

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Solution

The fourth proportional to 32,646.42, 48,969.64 and 8,954.21 is: 13,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.42 : 48,969.64 = 8,954.21 : x
  2. Step 2: Convert to fraction form
    32,646.42/48,969.64 = 8,954.21/x
  3. Step 3: Cross multiply
    32,646.42x = 48,969.64 × 8,954.21
  4. Step 4: Simplify right side
    32,646.42x = 438,484,573.80
  5. Step 5: Solve for x
    x = 438,484,573.80/32,646.42
  6. Step 6: Final answer
    x = 13,431.32

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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.