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Finding the Fourth Proportional to 30,285.74, 45,428.19 and 10,564.22

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Solution

The fourth proportional to 30,285.74, 45,428.19 and 10,564.22 is: 15,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.74 : 45,428.19 = 10,564.22 : x
  2. Step 2: Convert to fraction form
    30,285.74/45,428.19 = 10,564.22/x
  3. Step 3: Cross multiply
    30,285.74x = 45,428.19 × 10,564.22
  4. Step 4: Simplify right side
    30,285.74x = 479,913,166.22
  5. Step 5: Solve for x
    x = 479,913,166.22/30,285.74
  6. Step 6: Final answer
    x = 15,846.18

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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.