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Finding the Fourth Proportional to 30,291.75, 45,445.01 and 9,515.25

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Solution

The fourth proportional to 30,291.75, 45,445.01 and 9,515.25 is: 14,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.75 : 45,445.01 = 9,515.25 : x
  2. Step 2: Convert to fraction form
    30,291.75/45,445.01 = 9,515.25/x
  3. Step 3: Cross multiply
    30,291.75x = 45,445.01 × 9,515.25
  4. Step 4: Simplify right side
    30,291.75x = 432,420,583.83
  5. Step 5: Solve for x
    x = 432,420,583.83/30,291.75
  6. Step 6: Final answer
    x = 14,275.19

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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.