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Finding the Fourth Proportional to 78,036.09, 117,072.77 and 25,445.63

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Solution

The fourth proportional to 78,036.09, 117,072.77 and 25,445.63 is: 38,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,036.09 : 117,072.77 = 25,445.63 : x
  2. Step 2: Convert to fraction form
    78,036.09/117,072.77 = 25,445.63/x
  3. Step 3: Cross multiply
    78,036.09x = 117,072.77 × 25,445.63
  4. Step 4: Simplify right side
    78,036.09x = 2,978,990,388.50
  5. Step 5: Solve for x
    x = 2,978,990,388.50/78,036.09
  6. Step 6: Final answer
    x = 38,174.52

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