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Finding the Fourth Proportional to 32,038.02, 44,200.76 and 20,097

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Solution

The fourth proportional to 32,038.02, 44,200.76 and 20,097 is: 27,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.02 : 44,200.76 = 20,097 : x
  2. Step 2: Convert to fraction form
    32,038.02/44,200.76 = 20,097/x
  3. Step 3: Cross multiply
    32,038.02x = 44,200.76 × 20,097
  4. Step 4: Simplify right side
    32,038.02x = 888,302,573.24
  5. Step 5: Solve for x
    x = 888,302,573.24/32,038.02
  6. Step 6: Final answer
    x = 27,726.51

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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.