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Finding the Fourth Proportional to 30,047.13, 45,073.76 and 10,323.14

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Solution

The fourth proportional to 30,047.13, 45,073.76 and 10,323.14 is: 15,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.13 : 45,073.76 = 10,323.14 : x
  2. Step 2: Convert to fraction form
    30,047.13/45,073.76 = 10,323.14/x
  3. Step 3: Cross multiply
    30,047.13x = 45,073.76 × 10,323.14
  4. Step 4: Simplify right side
    30,047.13x = 465,302,457.82
  5. Step 5: Solve for x
    x = 465,302,457.82/30,047.13
  6. Step 6: Final answer
    x = 15,485.75

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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.