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Finding the Fourth Proportional to 32,598.54, 48,893.70 and 10,414.26

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Solution

The fourth proportional to 32,598.54, 48,893.70 and 10,414.26 is: 15,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,598.54 : 48,893.70 = 10,414.26 : x
  2. Step 2: Convert to fraction form
    32,598.54/48,893.70 = 10,414.26/x
  3. Step 3: Cross multiply
    32,598.54x = 48,893.70 × 10,414.26
  4. Step 4: Simplify right side
    32,598.54x = 509,191,704.16
  5. Step 5: Solve for x
    x = 509,191,704.16/32,598.54
  6. Step 6: Final answer
    x = 15,620.08

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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.