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Finding the Fourth Proportional to 68,090.24, 102,148.32 and 26,534

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Solution

The fourth proportional to 68,090.24, 102,148.32 and 26,534 is: 39,806.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,090.24 : 102,148.32 = 26,534 : x
  2. Step 2: Convert to fraction form
    68,090.24/102,148.32 = 26,534/x
  3. Step 3: Cross multiply
    68,090.24x = 102,148.32 × 26,534
  4. Step 4: Simplify right side
    68,090.24x = 2,710,403,522.88
  5. Step 5: Solve for x
    x = 2,710,403,522.88/68,090.24
  6. Step 6: Final answer
    x = 39,806.05

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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.