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Finding the Fourth Proportional to 108,703.02, 162,978.14 and 47,884.43

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Solution

The fourth proportional to 108,703.02, 162,978.14 and 47,884.43 is: 71,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,703.02 : 162,978.14 = 47,884.43 : x
  2. Step 2: Convert to fraction form
    108,703.02/162,978.14 = 47,884.43/x
  3. Step 3: Cross multiply
    108,703.02x = 162,978.14 × 47,884.43
  4. Step 4: Simplify right side
    108,703.02x = 7,804,114,282.05
  5. Step 5: Solve for x
    x = 7,804,114,282.05/108,703.02
  6. Step 6: Final answer
    x = 71,792.98

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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.