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Finding the Fourth Proportional to 30,675.77, 46,014.24 and 9,615.35

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Solution

The fourth proportional to 30,675.77, 46,014.24 and 9,615.35 is: 14,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.77 : 46,014.24 = 9,615.35 : x
  2. Step 2: Convert to fraction form
    30,675.77/46,014.24 = 9,615.35/x
  3. Step 3: Cross multiply
    30,675.77x = 46,014.24 × 9,615.35
  4. Step 4: Simplify right side
    30,675.77x = 442,443,137.62
  5. Step 5: Solve for x
    x = 442,443,137.62/30,675.77
  6. Step 6: Final answer
    x = 14,423.21

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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.