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Finding the Fourth Proportional to 78,009.32, 117,025.50 and 22,598.12

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Solution

The fourth proportional to 78,009.32, 117,025.50 and 22,598.12 is: 33,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,009.32 : 117,025.50 = 22,598.12 : x
  2. Step 2: Convert to fraction form
    78,009.32/117,025.50 = 22,598.12/x
  3. Step 3: Cross multiply
    78,009.32x = 117,025.50 × 22,598.12
  4. Step 4: Simplify right side
    78,009.32x = 2,644,556,292.06
  5. Step 5: Solve for x
    x = 2,644,556,292.06/78,009.32
  6. Step 6: Final answer
    x = 33,900.52

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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.