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Finding the Fourth Proportional to 30,980.50, 42,733.58 and 24,707.86

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Solution

The fourth proportional to 30,980.50, 42,733.58 and 24,707.86 is: 34,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.50 : 42,733.58 = 24,707.86 : x
  2. Step 2: Convert to fraction form
    30,980.50/42,733.58 = 24,707.86/x
  3. Step 3: Cross multiply
    30,980.50x = 42,733.58 × 24,707.86
  4. Step 4: Simplify right side
    30,980.50x = 1,055,855,311.94
  5. Step 5: Solve for x
    x = 1,055,855,311.94/30,980.50
  6. Step 6: Final answer
    x = 34,081.29

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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.