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Finding the Fourth Proportional to 32,030.92, 48,021.49 and 20,762.47

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Solution

The fourth proportional to 32,030.92, 48,021.49 and 20,762.47 is: 31,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.92 : 48,021.49 = 20,762.47 : x
  2. Step 2: Convert to fraction form
    32,030.92/48,021.49 = 20,762.47/x
  3. Step 3: Cross multiply
    32,030.92x = 48,021.49 × 20,762.47
  4. Step 4: Simplify right side
    32,030.92x = 997,044,745.48
  5. Step 5: Solve for x
    x = 997,044,745.48/32,030.92
  6. Step 6: Final answer
    x = 31,127.57

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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.