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Finding the Fourth Proportional to 108,384.94, 162,563.06 and 49,207

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Solution

The fourth proportional to 108,384.94, 162,563.06 and 49,207 is: 73,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,384.94 : 162,563.06 = 49,207 : x
  2. Step 2: Convert to fraction form
    108,384.94/162,563.06 = 49,207/x
  3. Step 3: Cross multiply
    108,384.94x = 162,563.06 × 49,207
  4. Step 4: Simplify right side
    108,384.94x = 7,999,240,493.42
  5. Step 5: Solve for x
    x = 7,999,240,493.42/108,384.94
  6. Step 6: Final answer
    x = 73,803.99

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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.