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Finding the Fourth Proportional to 109,386.48, 164,087.76 and 39,266.40

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Solution

The fourth proportional to 109,386.48, 164,087.76 and 39,266.40 is: 58,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,386.48 : 164,087.76 = 39,266.40 : x
  2. Step 2: Convert to fraction form
    109,386.48/164,087.76 = 39,266.40/x
  3. Step 3: Cross multiply
    109,386.48x = 164,087.76 × 39,266.40
  4. Step 4: Simplify right side
    109,386.48x = 6,443,135,619.26
  5. Step 5: Solve for x
    x = 6,443,135,619.26/109,386.48
  6. Step 6: Final answer
    x = 58,902.49

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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.