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Finding the Fourth Proportional to 39,032.21, 58,548.47 and 9,450

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Solution

The fourth proportional to 39,032.21, 58,548.47 and 9,450 is: 14,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,032.21 : 58,548.47 = 9,450 : x
  2. Step 2: Convert to fraction form
    39,032.21/58,548.47 = 9,450/x
  3. Step 3: Cross multiply
    39,032.21x = 58,548.47 × 9,450
  4. Step 4: Simplify right side
    39,032.21x = 553,282,994.25
  5. Step 5: Solve for x
    x = 553,282,994.25/39,032.21
  6. Step 6: Final answer
    x = 14,175.04

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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.