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Finding the Fourth Proportional to 30,593.70, 45,885.51 and 9,814.50

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Solution

The fourth proportional to 30,593.70, 45,885.51 and 9,814.50 is: 14,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,593.70 : 45,885.51 = 9,814.50 : x
  2. Step 2: Convert to fraction form
    30,593.70/45,885.51 = 9,814.50/x
  3. Step 3: Cross multiply
    30,593.70x = 45,885.51 × 9,814.50
  4. Step 4: Simplify right side
    30,593.70x = 450,343,337.90
  5. Step 5: Solve for x
    x = 450,343,337.90/30,593.70
  6. Step 6: Final answer
    x = 14,720.13

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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.