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Finding the Fourth Proportional to 30,153.40, 45,215.47 and 9,089.51

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Solution

The fourth proportional to 30,153.40, 45,215.47 and 9,089.51 is: 13,629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,153.40 : 45,215.47 = 9,089.51 : x
  2. Step 2: Convert to fraction form
    30,153.40/45,215.47 = 9,089.51/x
  3. Step 3: Cross multiply
    30,153.40x = 45,215.47 × 9,089.51
  4. Step 4: Simplify right side
    30,153.40x = 410,986,506.34
  5. Step 5: Solve for x
    x = 410,986,506.34/30,153.40
  6. Step 6: Final answer
    x = 13,629.86

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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.