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Finding the Fourth Proportional to 30,477.28, 45,706.14 and 9,695.92

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Solution

The fourth proportional to 30,477.28, 45,706.14 and 9,695.92 is: 14,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.28 : 45,706.14 = 9,695.92 : x
  2. Step 2: Convert to fraction form
    30,477.28/45,706.14 = 9,695.92/x
  3. Step 3: Cross multiply
    30,477.28x = 45,706.14 × 9,695.92
  4. Step 4: Simplify right side
    30,477.28x = 443,163,076.95
  5. Step 5: Solve for x
    x = 443,163,076.95/30,477.28
  6. Step 6: Final answer
    x = 14,540.77

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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.