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Finding the Fourth Proportional to 30,898.28, 46,347.33 and 7,524.74

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Solution

The fourth proportional to 30,898.28, 46,347.33 and 7,524.74 is: 11,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.28 : 46,347.33 = 7,524.74 : x
  2. Step 2: Convert to fraction form
    30,898.28/46,347.33 = 7,524.74/x
  3. Step 3: Cross multiply
    30,898.28x = 46,347.33 × 7,524.74
  4. Step 4: Simplify right side
    30,898.28x = 348,751,607.94
  5. Step 5: Solve for x
    x = 348,751,607.94/30,898.28
  6. Step 6: Final answer
    x = 11,287.09

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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.