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Finding the Fourth Proportional to 30,313.12, 45,471.12 and 9,538.24

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Solution

The fourth proportional to 30,313.12, 45,471.12 and 9,538.24 is: 14,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.12 : 45,471.12 = 9,538.24 : x
  2. Step 2: Convert to fraction form
    30,313.12/45,471.12 = 9,538.24/x
  3. Step 3: Cross multiply
    30,313.12x = 45,471.12 × 9,538.24
  4. Step 4: Simplify right side
    30,313.12x = 433,714,455.63
  5. Step 5: Solve for x
    x = 433,714,455.63/30,313.12
  6. Step 6: Final answer
    x = 14,307.81

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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.