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Finding the Fourth Proportional to 30,910.32, 42,655.83 and 16,762.86

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Solution

The fourth proportional to 30,910.32, 42,655.83 and 16,762.86 is: 23,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,910.32 : 42,655.83 = 16,762.86 : x
  2. Step 2: Convert to fraction form
    30,910.32/42,655.83 = 16,762.86/x
  3. Step 3: Cross multiply
    30,910.32x = 42,655.83 × 16,762.86
  4. Step 4: Simplify right side
    30,910.32x = 715,033,706.47
  5. Step 5: Solve for x
    x = 715,033,706.47/30,910.32
  6. Step 6: Final answer
    x = 23,132.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.