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Finding the Fourth Proportional to 30,406.66, 41,950.11 and 17,828.98

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Solution

The fourth proportional to 30,406.66, 41,950.11 and 17,828.98 is: 24,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.66 : 41,950.11 = 17,828.98 : x
  2. Step 2: Convert to fraction form
    30,406.66/41,950.11 = 17,828.98/x
  3. Step 3: Cross multiply
    30,406.66x = 41,950.11 × 17,828.98
  4. Step 4: Simplify right side
    30,406.66x = 747,927,672.19
  5. Step 5: Solve for x
    x = 747,927,672.19/30,406.66
  6. Step 6: Final answer
    x = 24,597.50

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Why These Related Problems?

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