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Finding the Fourth Proportional to 35,938.59, 49,595.31 and 20,023.60

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Solution

The fourth proportional to 35,938.59, 49,595.31 and 20,023.60 is: 27,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,938.59 : 49,595.31 = 20,023.60 : x
  2. Step 2: Convert to fraction form
    35,938.59/49,595.31 = 20,023.60/x
  3. Step 3: Cross multiply
    35,938.59x = 49,595.31 × 20,023.60
  4. Step 4: Simplify right side
    35,938.59x = 993,076,649.32
  5. Step 5: Solve for x
    x = 993,076,649.32/35,938.59
  6. Step 6: Final answer
    x = 27,632.60

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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.