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Finding the Fourth Proportional to 93,877.53, 140,824.97 and 30,697.98

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Solution

The fourth proportional to 93,877.53, 140,824.97 and 30,697.98 is: 46,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,877.53 : 140,824.97 = 30,697.98 : x
  2. Step 2: Convert to fraction form
    93,877.53/140,824.97 = 30,697.98/x
  3. Step 3: Cross multiply
    93,877.53x = 140,824.97 × 30,697.98
  4. Step 4: Simplify right side
    93,877.53x = 4,323,041,959.07
  5. Step 5: Solve for x
    x = 4,323,041,959.07/93,877.53
  6. Step 6: Final answer
    x = 46,049.81

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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.