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Finding the Fourth Proportional to 42,078, 58,067.70 and 23,216.40

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Solution

The fourth proportional to 42,078, 58,067.70 and 23,216.40 is: 32,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,078 : 58,067.70 = 23,216.40 : x
  2. Step 2: Convert to fraction form
    42,078/58,067.70 = 23,216.40/x
  3. Step 3: Cross multiply
    42,078x = 58,067.70 × 23,216.40
  4. Step 4: Simplify right side
    42,078x = 1,348,122,950.28
  5. Step 5: Solve for x
    x = 1,348,122,950.28/42,078
  6. Step 6: Final answer
    x = 32,038.67

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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.