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Finding the Fourth Proportional to 30,022.78, 45,029.05 and 10,030.01

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Solution

The fourth proportional to 30,022.78, 45,029.05 and 10,030.01 is: 15,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,022.78 : 45,029.05 = 10,030.01 : x
  2. Step 2: Convert to fraction form
    30,022.78/45,029.05 = 10,030.01/x
  3. Step 3: Cross multiply
    30,022.78x = 45,029.05 × 10,030.01
  4. Step 4: Simplify right side
    30,022.78x = 451,641,596.65
  5. Step 5: Solve for x
    x = 451,641,596.65/30,022.78
  6. Step 6: Final answer
    x = 15,043.30

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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.