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Finding the Fourth Proportional to 97,096.19, 145,646.11 and 26,977.33

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Solution

The fourth proportional to 97,096.19, 145,646.11 and 26,977.33 is: 40,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,096.19 : 145,646.11 = 26,977.33 : x
  2. Step 2: Convert to fraction form
    97,096.19/145,646.11 = 26,977.33/x
  3. Step 3: Cross multiply
    97,096.19x = 145,646.11 × 26,977.33
  4. Step 4: Simplify right side
    97,096.19x = 3,929,143,172.69
  5. Step 5: Solve for x
    x = 3,929,143,172.69/97,096.19
  6. Step 6: Final answer
    x = 40,466.50

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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.