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Finding the Fourth Proportional to 30,021.54, 45,037.98 and 10,302.90

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Solution

The fourth proportional to 30,021.54, 45,037.98 and 10,302.90 is: 15,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,021.54 : 45,037.98 = 10,302.90 : x
  2. Step 2: Convert to fraction form
    30,021.54/45,037.98 = 10,302.90/x
  3. Step 3: Cross multiply
    30,021.54x = 45,037.98 × 10,302.90
  4. Step 4: Simplify right side
    30,021.54x = 464,021,804.14
  5. Step 5: Solve for x
    x = 464,021,804.14/30,021.54
  6. Step 6: Final answer
    x = 15,456.30

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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.