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Finding the Fourth Proportional to 30,277.40, 45,416.10 and 15,515.15

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Solution

The fourth proportional to 30,277.40, 45,416.10 and 15,515.15 is: 23,272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.40 : 45,416.10 = 15,515.15 : x
  2. Step 2: Convert to fraction form
    30,277.40/45,416.10 = 15,515.15/x
  3. Step 3: Cross multiply
    30,277.40x = 45,416.10 × 15,515.15
  4. Step 4: Simplify right side
    30,277.40x = 704,637,603.92
  5. Step 5: Solve for x
    x = 704,637,603.92/30,277.40
  6. Step 6: Final answer
    x = 23,272.73

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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.