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Finding the Fourth Proportional to 30,435.25, 45,652.89 and 9,658.75

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Solution

The fourth proportional to 30,435.25, 45,652.89 and 9,658.75 is: 14,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,435.25 : 45,652.89 = 9,658.75 : x
  2. Step 2: Convert to fraction form
    30,435.25/45,652.89 = 9,658.75/x
  3. Step 3: Cross multiply
    30,435.25x = 45,652.89 × 9,658.75
  4. Step 4: Simplify right side
    30,435.25x = 440,949,851.29
  5. Step 5: Solve for x
    x = 440,949,851.29/30,435.25
  6. Step 6: Final answer
    x = 14,488.13

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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.