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Finding the Fourth Proportional to 30,670.10, 46,005.14 and 9,893.60

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Solution

The fourth proportional to 30,670.10, 46,005.14 and 9,893.60 is: 14,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.10 : 46,005.14 = 9,893.60 : x
  2. Step 2: Convert to fraction form
    30,670.10/46,005.14 = 9,893.60/x
  3. Step 3: Cross multiply
    30,670.10x = 46,005.14 × 9,893.60
  4. Step 4: Simplify right side
    30,670.10x = 455,156,453.10
  5. Step 5: Solve for x
    x = 455,156,453.10/30,670.10
  6. Step 6: Final answer
    x = 14,840.40

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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.