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Finding the Fourth Proportional to 30,897.15, 46,345.32 and 7,523.61

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Solution

The fourth proportional to 30,897.15, 46,345.32 and 7,523.61 is: 11,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.15 : 46,345.32 = 7,523.61 : x
  2. Step 2: Convert to fraction form
    30,897.15/46,345.32 = 7,523.61/x
  3. Step 3: Cross multiply
    30,897.15x = 46,345.32 × 7,523.61
  4. Step 4: Simplify right side
    30,897.15x = 348,684,113.01
  5. Step 5: Solve for x
    x = 348,684,113.01/30,897.15
  6. Step 6: Final answer
    x = 11,285.32

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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.