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Finding the Fourth Proportional to 42,178.86, 58,203.90 and 23,314.50

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Solution

The fourth proportional to 42,178.86, 58,203.90 and 23,314.50 is: 32,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,178.86 : 58,203.90 = 23,314.50 : x
  2. Step 2: Convert to fraction form
    42,178.86/58,203.90 = 23,314.50/x
  3. Step 3: Cross multiply
    42,178.86x = 58,203.90 × 23,314.50
  4. Step 4: Simplify right side
    42,178.86x = 1,356,994,826.55
  5. Step 5: Solve for x
    x = 1,356,994,826.55/42,178.86
  6. Step 6: Final answer
    x = 32,172.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.