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Finding the Fourth Proportional to 42,339.80, 58,432.42 and 23,483

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Solution

The fourth proportional to 42,339.80, 58,432.42 and 23,483 is: 32,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,339.80 : 58,432.42 = 23,483 : x
  2. Step 2: Convert to fraction form
    42,339.80/58,432.42 = 23,483/x
  3. Step 3: Cross multiply
    42,339.80x = 58,432.42 × 23,483
  4. Step 4: Simplify right side
    42,339.80x = 1,372,168,518.86
  5. Step 5: Solve for x
    x = 1,372,168,518.86/42,339.80
  6. Step 6: Final answer
    x = 32,408.48

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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.