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Finding the Fourth Proportional to 42,406.32, 63,488.52 and 33,654

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Solution

The fourth proportional to 42,406.32, 63,488.52 and 33,654 is: 50,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406.32 : 63,488.52 = 33,654 : x
  2. Step 2: Convert to fraction form
    42,406.32/63,488.52 = 33,654/x
  3. Step 3: Cross multiply
    42,406.32x = 63,488.52 × 33,654
  4. Step 4: Simplify right side
    42,406.32x = 2,136,642,652.08
  5. Step 5: Solve for x
    x = 2,136,642,652.08/42,406.32
  6. Step 6: Final answer
    x = 50,385.01

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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.