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Finding the Fourth Proportional to 32,655.42, 48,976.56 and 16,008.30

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Solution

The fourth proportional to 32,655.42, 48,976.56 and 16,008.30 is: 24,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,655.42 : 48,976.56 = 16,008.30 : x
  2. Step 2: Convert to fraction form
    32,655.42/48,976.56 = 16,008.30/x
  3. Step 3: Cross multiply
    32,655.42x = 48,976.56 × 16,008.30
  4. Step 4: Simplify right side
    32,655.42x = 784,031,465.45
  5. Step 5: Solve for x
    x = 784,031,465.45/32,655.42
  6. Step 6: Final answer
    x = 24,009.23

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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.