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Finding the Fourth Proportional to 42,165.56, 63,187.56 and 32,127.20

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Solution

The fourth proportional to 42,165.56, 63,187.56 and 32,127.20 is: 48,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,165.56 : 63,187.56 = 32,127.20 : x
  2. Step 2: Convert to fraction form
    42,165.56/63,187.56 = 32,127.20/x
  3. Step 3: Cross multiply
    42,165.56x = 63,187.56 × 32,127.20
  4. Step 4: Simplify right side
    42,165.56x = 2,030,039,377.63
  5. Step 5: Solve for x
    x = 2,030,039,377.63/42,165.56
  6. Step 6: Final answer
    x = 48,144.49

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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.