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Finding the Fourth Proportional to 42,672.30, 64,008.45 and 24,009.90

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Solution

The fourth proportional to 42,672.30, 64,008.45 and 24,009.90 is: 36,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,672.30 : 64,008.45 = 24,009.90 : x
  2. Step 2: Convert to fraction form
    42,672.30/64,008.45 = 24,009.90/x
  3. Step 3: Cross multiply
    42,672.30x = 64,008.45 × 24,009.90
  4. Step 4: Simplify right side
    42,672.30x = 1,536,836,483.66
  5. Step 5: Solve for x
    x = 1,536,836,483.66/42,672.30
  6. Step 6: Final answer
    x = 36,014.85

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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.