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Finding the Fourth Proportional to 32,938.44, 45,454.68 and 17,830.74

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Solution

The fourth proportional to 32,938.44, 45,454.68 and 17,830.74 is: 24,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.44 : 45,454.68 = 17,830.74 : x
  2. Step 2: Convert to fraction form
    32,938.44/45,454.68 = 17,830.74/x
  3. Step 3: Cross multiply
    32,938.44x = 45,454.68 × 17,830.74
  4. Step 4: Simplify right side
    32,938.44x = 810,490,580.86
  5. Step 5: Solve for x
    x = 810,490,580.86/32,938.44
  6. Step 6: Final answer
    x = 24,606.22

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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.