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Finding the Fourth Proportional to 51,298.68, 70,792.47 and 30,078.30

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Solution

The fourth proportional to 51,298.68, 70,792.47 and 30,078.30 is: 41,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,298.68 : 70,792.47 = 30,078.30 : x
  2. Step 2: Convert to fraction form
    51,298.68/70,792.47 = 30,078.30/x
  3. Step 3: Cross multiply
    51,298.68x = 70,792.47 × 30,078.30
  4. Step 4: Simplify right side
    51,298.68x = 2,129,317,150.40
  5. Step 5: Solve for x
    x = 2,129,317,150.40/51,298.68
  6. Step 6: Final answer
    x = 41,508.22

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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.