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Finding the Fourth Proportional to 93,782.83, 140,683.52 and 30,600.40

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Solution

The fourth proportional to 93,782.83, 140,683.52 and 30,600.40 is: 45,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,782.83 : 140,683.52 = 30,600.40 : x
  2. Step 2: Convert to fraction form
    93,782.83/140,683.52 = 30,600.40/x
  3. Step 3: Cross multiply
    93,782.83x = 140,683.52 × 30,600.40
  4. Step 4: Simplify right side
    93,782.83x = 4,304,971,985.41
  5. Step 5: Solve for x
    x = 4,304,971,985.41/93,782.83
  6. Step 6: Final answer
    x = 45,903.63

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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.