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Finding the Fourth Proportional to 30,230.53, 45,345.90 and 10,509.25

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Solution

The fourth proportional to 30,230.53, 45,345.90 and 10,509.25 is: 15,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230.53 : 45,345.90 = 10,509.25 : x
  2. Step 2: Convert to fraction form
    30,230.53/45,345.90 = 10,509.25/x
  3. Step 3: Cross multiply
    30,230.53x = 45,345.90 × 10,509.25
  4. Step 4: Simplify right side
    30,230.53x = 476,551,399.58
  5. Step 5: Solve for x
    x = 476,551,399.58/30,230.53
  6. Step 6: Final answer
    x = 15,763.91

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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.