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Finding the Fourth Proportional to 37,764.08, 56,646.12 and 16,973

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Solution

The fourth proportional to 37,764.08, 56,646.12 and 16,973 is: 25,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,764.08 : 56,646.12 = 16,973 : x
  2. Step 2: Convert to fraction form
    37,764.08/56,646.12 = 16,973/x
  3. Step 3: Cross multiply
    37,764.08x = 56,646.12 × 16,973
  4. Step 4: Simplify right side
    37,764.08x = 961,454,594.76
  5. Step 5: Solve for x
    x = 961,454,594.76/37,764.08
  6. Step 6: Final answer
    x = 25,459.50

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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.