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Finding the Fourth Proportional to 108,516.94, 162,783.21 and 37,438.54

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Solution

The fourth proportional to 108,516.94, 162,783.21 and 37,438.54 is: 56,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,516.94 : 162,783.21 = 37,438.54 : x
  2. Step 2: Convert to fraction form
    108,516.94/162,783.21 = 37,438.54/x
  3. Step 3: Cross multiply
    108,516.94x = 162,783.21 × 37,438.54
  4. Step 4: Simplify right side
    108,516.94x = 6,094,365,718.91
  5. Step 5: Solve for x
    x = 6,094,365,718.91/108,516.94
  6. Step 6: Final answer
    x = 56,160.50

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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.