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Finding the Fourth Proportional to 42,153.14, 63,224.04 and 12,565.46

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Solution

The fourth proportional to 42,153.14, 63,224.04 and 12,565.46 is: 18,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,153.14 : 63,224.04 = 12,565.46 : x
  2. Step 2: Convert to fraction form
    42,153.14/63,224.04 = 12,565.46/x
  3. Step 3: Cross multiply
    42,153.14x = 63,224.04 × 12,565.46
  4. Step 4: Simplify right side
    42,153.14x = 794,439,145.66
  5. Step 5: Solve for x
    x = 794,439,145.66/42,153.14
  6. Step 6: Final answer
    x = 18,846.50

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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.