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Finding the Fourth Proportional to 32,304.42, 48,421.80 and 15,629.22

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Solution

The fourth proportional to 32,304.42, 48,421.80 and 15,629.22 is: 23,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,304.42 : 48,421.80 = 15,629.22 : x
  2. Step 2: Convert to fraction form
    32,304.42/48,421.80 = 15,629.22/x
  3. Step 3: Cross multiply
    32,304.42x = 48,421.80 × 15,629.22
  4. Step 4: Simplify right side
    32,304.42x = 756,794,965.00
  5. Step 5: Solve for x
    x = 756,794,965.00/32,304.42
  6. Step 6: Final answer
    x = 23,426.98

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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.