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Finding the Fourth Proportional to 30,195, 45,300.53 and 10,473.53

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Solution

The fourth proportional to 30,195, 45,300.53 and 10,473.53 is: 15,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,195 : 45,300.53 = 10,473.53 : x
  2. Step 2: Convert to fraction form
    30,195/45,300.53 = 10,473.53/x
  3. Step 3: Cross multiply
    30,195x = 45,300.53 × 10,473.53
  4. Step 4: Simplify right side
    30,195x = 474,456,259.65
  5. Step 5: Solve for x
    x = 474,456,259.65/30,195
  6. Step 6: Final answer
    x = 15,713.07

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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.