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Finding the Fourth Proportional to 96,858.49, 145,506.45 and 57,441.46

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Solution

The fourth proportional to 96,858.49, 145,506.45 and 57,441.46 is: 86,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,858.49 : 145,506.45 = 57,441.46 : x
  2. Step 2: Convert to fraction form
    96,858.49/145,506.45 = 57,441.46/x
  3. Step 3: Cross multiply
    96,858.49x = 145,506.45 × 57,441.46
  4. Step 4: Simplify right side
    96,858.49x = 8,358,102,640.21
  5. Step 5: Solve for x
    x = 8,358,102,640.21/96,858.49
  6. Step 6: Final answer
    x = 86,291.89

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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.