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Finding the Fourth Proportional to 30,897.38, 46,345.86 and 7,523.84

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Solution

The fourth proportional to 30,897.38, 46,345.86 and 7,523.84 is: 11,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.38 : 46,345.86 = 7,523.84 : x
  2. Step 2: Convert to fraction form
    30,897.38/46,345.86 = 7,523.84/x
  3. Step 3: Cross multiply
    30,897.38x = 46,345.86 × 7,523.84
  4. Step 4: Simplify right side
    30,897.38x = 348,698,835.30
  5. Step 5: Solve for x
    x = 348,698,835.30/30,897.38
  6. Step 6: Final answer
    x = 11,285.71

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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.