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Finding the Fourth Proportional to 30,378.24, 45,574.02 and 9,321.18

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Solution

The fourth proportional to 30,378.24, 45,574.02 and 9,321.18 is: 13,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.24 : 45,574.02 = 9,321.18 : x
  2. Step 2: Convert to fraction form
    30,378.24/45,574.02 = 9,321.18/x
  3. Step 3: Cross multiply
    30,378.24x = 45,574.02 × 9,321.18
  4. Step 4: Simplify right side
    30,378.24x = 424,803,643.74
  5. Step 5: Solve for x
    x = 424,803,643.74/30,378.24
  6. Step 6: Final answer
    x = 13,983.81

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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.