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Finding the Fourth Proportional to 49,341.61, 74,023.35 and 23,032

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Solution

The fourth proportional to 49,341.61, 74,023.35 and 23,032 is: 34,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,341.61 : 74,023.35 = 23,032 : x
  2. Step 2: Convert to fraction form
    49,341.61/74,023.35 = 23,032/x
  3. Step 3: Cross multiply
    49,341.61x = 74,023.35 × 23,032
  4. Step 4: Simplify right side
    49,341.61x = 1,704,905,797.20
  5. Step 5: Solve for x
    x = 1,704,905,797.20/49,341.61
  6. Step 6: Final answer
    x = 34,553.10

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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.