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Finding the Fourth Proportional to 38,762.40, 58,096.86 and 20,032.32

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Solution

The fourth proportional to 38,762.40, 58,096.86 and 20,032.32 is: 30,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,762.40 : 58,096.86 = 20,032.32 : x
  2. Step 2: Convert to fraction form
    38,762.40/58,096.86 = 20,032.32/x
  3. Step 3: Cross multiply
    38,762.40x = 58,096.86 × 20,032.32
  4. Step 4: Simplify right side
    38,762.40x = 1,163,814,890.52
  5. Step 5: Solve for x
    x = 1,163,814,890.52/38,762.40
  6. Step 6: Final answer
    x = 30,024.32

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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.