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Finding the Fourth Proportional to 108,072.64, 162,090.06 and 48,894.40

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Solution

The fourth proportional to 108,072.64, 162,090.06 and 48,894.40 is: 73,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,072.64 : 162,090.06 = 48,894.40 : x
  2. Step 2: Convert to fraction form
    108,072.64/162,090.06 = 48,894.40/x
  3. Step 3: Cross multiply
    108,072.64x = 162,090.06 × 48,894.40
  4. Step 4: Simplify right side
    108,072.64x = 7,925,296,229.66
  5. Step 5: Solve for x
    x = 7,925,296,229.66/108,072.64
  6. Step 6: Final answer
    x = 73,333.05

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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.