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Finding the Fourth Proportional to 30,025.29, 45,032.82 and 10,032.51

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Solution

The fourth proportional to 30,025.29, 45,032.82 and 10,032.51 is: 15,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,025.29 : 45,032.82 = 10,032.51 : x
  2. Step 2: Convert to fraction form
    30,025.29/45,032.82 = 10,032.51/x
  3. Step 3: Cross multiply
    30,025.29x = 45,032.82 × 10,032.51
  4. Step 4: Simplify right side
    30,025.29x = 451,792,216.98
  5. Step 5: Solve for x
    x = 451,792,216.98/30,025.29
  6. Step 6: Final answer
    x = 15,047.06

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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.