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Finding the Fourth Proportional to 30,670.29, 45,999.57 and 9,607.14

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Solution

The fourth proportional to 30,670.29, 45,999.57 and 9,607.14 is: 14,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.29 : 45,999.57 = 9,607.14 : x
  2. Step 2: Convert to fraction form
    30,670.29/45,999.57 = 9,607.14/x
  3. Step 3: Cross multiply
    30,670.29x = 45,999.57 × 9,607.14
  4. Step 4: Simplify right side
    30,670.29x = 441,924,308.93
  5. Step 5: Solve for x
    x = 441,924,308.93/30,670.29
  6. Step 6: Final answer
    x = 14,408.87

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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.