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Finding the Fourth Proportional to 30,740.82, 42,421.89 and 17,312.22

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Solution

The fourth proportional to 30,740.82, 42,421.89 and 17,312.22 is: 23,890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.82 : 42,421.89 = 17,312.22 : x
  2. Step 2: Convert to fraction form
    30,740.82/42,421.89 = 17,312.22/x
  3. Step 3: Cross multiply
    30,740.82x = 42,421.89 × 17,312.22
  4. Step 4: Simplify right side
    30,740.82x = 734,417,092.50
  5. Step 5: Solve for x
    x = 734,417,092.50/30,740.82
  6. Step 6: Final answer
    x = 23,890.61

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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.