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Finding the Fourth Proportional to 30,626.60, 45,928 and 11,904.16

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Solution

The fourth proportional to 30,626.60, 45,928 and 11,904.16 is: 17,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,626.60 : 45,928 = 11,904.16 : x
  2. Step 2: Convert to fraction form
    30,626.60/45,928 = 11,904.16/x
  3. Step 3: Cross multiply
    30,626.60x = 45,928 × 11,904.16
  4. Step 4: Simplify right side
    30,626.60x = 546,734,260.48
  5. Step 5: Solve for x
    x = 546,734,260.48/30,626.60
  6. Step 6: Final answer
    x = 17,851.61

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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.