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Finding the Fourth Proportional to 68,277.48, 102,416.22 and 21,534

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Solution

The fourth proportional to 68,277.48, 102,416.22 and 21,534 is: 32,301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,277.48 : 102,416.22 = 21,534 : x
  2. Step 2: Convert to fraction form
    68,277.48/102,416.22 = 21,534/x
  3. Step 3: Cross multiply
    68,277.48x = 102,416.22 × 21,534
  4. Step 4: Simplify right side
    68,277.48x = 2,205,430,881.48
  5. Step 5: Solve for x
    x = 2,205,430,881.48/68,277.48
  6. Step 6: Final answer
    x = 32,301.00

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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.