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Finding the Fourth Proportional to 30,286.94, 45,417.45 and 10,559.66

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Solution

The fourth proportional to 30,286.94, 45,417.45 and 10,559.66 is: 15,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.94 : 45,417.45 = 10,559.66 : x
  2. Step 2: Convert to fraction form
    30,286.94/45,417.45 = 10,559.66/x
  3. Step 3: Cross multiply
    30,286.94x = 45,417.45 × 10,559.66
  4. Step 4: Simplify right side
    30,286.94x = 479,592,830.07
  5. Step 5: Solve for x
    x = 479,592,830.07/30,286.94
  6. Step 6: Final answer
    x = 15,834.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.