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Finding the Fourth Proportional to 70,835.50, 106,260.54 and 20,928.16

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Solution

The fourth proportional to 70,835.50, 106,260.54 and 20,928.16 is: 31,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,835.50 : 106,260.54 = 20,928.16 : x
  2. Step 2: Convert to fraction form
    70,835.50/106,260.54 = 20,928.16/x
  3. Step 3: Cross multiply
    70,835.50x = 106,260.54 × 20,928.16
  4. Step 4: Simplify right side
    70,835.50x = 2,223,837,582.81
  5. Step 5: Solve for x
    x = 2,223,837,582.81/70,835.50
  6. Step 6: Final answer
    x = 31,394.39

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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.