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Finding the Fourth Proportional to 58,978.14, 88,442.37 and 23,893.26

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Solution

The fourth proportional to 58,978.14, 88,442.37 and 23,893.26 is: 35,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,978.14 : 88,442.37 = 23,893.26 : x
  2. Step 2: Convert to fraction form
    58,978.14/88,442.37 = 23,893.26/x
  3. Step 3: Cross multiply
    58,978.14x = 88,442.37 × 23,893.26
  4. Step 4: Simplify right side
    58,978.14x = 2,113,176,541.43
  5. Step 5: Solve for x
    x = 2,113,176,541.43/58,978.14
  6. Step 6: Final answer
    x = 35,829.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.