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Finding the Fourth Proportional to 30,291.46, 41,700.09 and 24,977.86

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Solution

The fourth proportional to 30,291.46, 41,700.09 and 24,977.86 is: 34,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.46 : 41,700.09 = 24,977.86 : x
  2. Step 2: Convert to fraction form
    30,291.46/41,700.09 = 24,977.86/x
  3. Step 3: Cross multiply
    30,291.46x = 41,700.09 × 24,977.86
  4. Step 4: Simplify right side
    30,291.46x = 1,041,579,010.01
  5. Step 5: Solve for x
    x = 1,041,579,010.01/30,291.46
  6. Step 6: Final answer
    x = 34,385.24

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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.