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Finding the Fourth Proportional to 30,670.35, 46,005.52 and 9,893.85

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Solution

The fourth proportional to 30,670.35, 46,005.52 and 9,893.85 is: 14,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.35 : 46,005.52 = 9,893.85 : x
  2. Step 2: Convert to fraction form
    30,670.35/46,005.52 = 9,893.85/x
  3. Step 3: Cross multiply
    30,670.35x = 46,005.52 × 9,893.85
  4. Step 4: Simplify right side
    30,670.35x = 455,171,714.05
  5. Step 5: Solve for x
    x = 455,171,714.05/30,670.35
  6. Step 6: Final answer
    x = 14,840.77

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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.