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Finding the Fourth Proportional to 93,877.51, 140,824.92 and 30,697.96

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Solution

The fourth proportional to 93,877.51, 140,824.92 and 30,697.96 is: 46,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,877.51 : 140,824.92 = 30,697.96 : x
  2. Step 2: Convert to fraction form
    93,877.51/140,824.92 = 30,697.96/x
  3. Step 3: Cross multiply
    93,877.51x = 140,824.92 × 30,697.96
  4. Step 4: Simplify right side
    93,877.51x = 4,323,037,057.04
  5. Step 5: Solve for x
    x = 4,323,037,057.04/93,877.51
  6. Step 6: Final answer
    x = 46,049.77

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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.