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Finding the Fourth Proportional to 30,104.64, 45,165.86 and 10,385.18

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Solution

The fourth proportional to 30,104.64, 45,165.86 and 10,385.18 is: 15,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,104.64 : 45,165.86 = 10,385.18 : x
  2. Step 2: Convert to fraction form
    30,104.64/45,165.86 = 10,385.18/x
  3. Step 3: Cross multiply
    30,104.64x = 45,165.86 × 10,385.18
  4. Step 4: Simplify right side
    30,104.64x = 469,055,585.95
  5. Step 5: Solve for x
    x = 469,055,585.95/30,104.64
  6. Step 6: Final answer
    x = 15,580.84

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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.