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Finding the Fourth Proportional to 27,978.86, 41,968.35 and 23,038.13

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Solution

The fourth proportional to 27,978.86, 41,968.35 and 23,038.13 is: 34,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.86 : 41,968.35 = 23,038.13 : x
  2. Step 2: Convert to fraction form
    27,978.86/41,968.35 = 23,038.13/x
  3. Step 3: Cross multiply
    27,978.86x = 41,968.35 × 23,038.13
  4. Step 4: Simplify right side
    27,978.86x = 966,872,093.34
  5. Step 5: Solve for x
    x = 966,872,093.34/27,978.86
  6. Step 6: Final answer
    x = 34,557.24

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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.