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Finding the Fourth Proportional to 103,136.90, 154,708.58 and 32,059.90

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Solution

The fourth proportional to 103,136.90, 154,708.58 and 32,059.90 is: 48,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,136.90 : 154,708.58 = 32,059.90 : x
  2. Step 2: Convert to fraction form
    103,136.90/154,708.58 = 32,059.90/x
  3. Step 3: Cross multiply
    103,136.90x = 154,708.58 × 32,059.90
  4. Step 4: Simplify right side
    103,136.90x = 4,959,941,877.48
  5. Step 5: Solve for x
    x = 4,959,941,877.48/103,136.90
  6. Step 6: Final answer
    x = 48,090.86

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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.