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Finding the Fourth Proportional to 76,731.62, 115,090.14 and 26,802.50

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Solution

The fourth proportional to 76,731.62, 115,090.14 and 26,802.50 is: 40,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,731.62 : 115,090.14 = 26,802.50 : x
  2. Step 2: Convert to fraction form
    76,731.62/115,090.14 = 26,802.50/x
  3. Step 3: Cross multiply
    76,731.62x = 115,090.14 × 26,802.50
  4. Step 4: Simplify right side
    76,731.62x = 3,084,703,477.35
  5. Step 5: Solve for x
    x = 3,084,703,477.35/76,731.62
  6. Step 6: Final answer
    x = 40,201.20

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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.