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Finding the Fourth Proportional to 96,683.80, 145,029.62 and 46,056.80

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Solution

The fourth proportional to 96,683.80, 145,029.62 and 46,056.80 is: 69,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,683.80 : 145,029.62 = 46,056.80 : x
  2. Step 2: Convert to fraction form
    96,683.80/145,029.62 = 46,056.80/x
  3. Step 3: Cross multiply
    96,683.80x = 145,029.62 × 46,056.80
  4. Step 4: Simplify right side
    96,683.80x = 6,679,600,202.42
  5. Step 5: Solve for x
    x = 6,679,600,202.42/96,683.80
  6. Step 6: Final answer
    x = 69,087.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.