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Finding the Fourth Proportional to 42,695.88, 58,920.38 and 23,833

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Solution

The fourth proportional to 42,695.88, 58,920.38 and 23,833 is: 32,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,695.88 : 58,920.38 = 23,833 : x
  2. Step 2: Convert to fraction form
    42,695.88/58,920.38 = 23,833/x
  3. Step 3: Cross multiply
    42,695.88x = 58,920.38 × 23,833
  4. Step 4: Simplify right side
    42,695.88x = 1,404,249,416.54
  5. Step 5: Solve for x
    x = 1,404,249,416.54/42,695.88
  6. Step 6: Final answer
    x = 32,889.58

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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.