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Finding the Fourth Proportional to 51,626.16, 71,258.16 and 30,412.32

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Solution

The fourth proportional to 51,626.16, 71,258.16 and 30,412.32 is: 41,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,626.16 : 71,258.16 = 30,412.32 : x
  2. Step 2: Convert to fraction form
    51,626.16/71,258.16 = 30,412.32/x
  3. Step 3: Cross multiply
    51,626.16x = 71,258.16 × 30,412.32
  4. Step 4: Simplify right side
    51,626.16x = 2,167,125,964.53
  5. Step 5: Solve for x
    x = 2,167,125,964.53/51,626.16
  6. Step 6: Final answer
    x = 41,977.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.