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Finding the Fourth Proportional to 108,043.64, 149,096.31 and 59,644.53

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Solution

The fourth proportional to 108,043.64, 149,096.31 and 59,644.53 is: 82,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,043.64 : 149,096.31 = 59,644.53 : x
  2. Step 2: Convert to fraction form
    108,043.64/149,096.31 = 59,644.53/x
  3. Step 3: Cross multiply
    108,043.64x = 149,096.31 × 59,644.53
  4. Step 4: Simplify right side
    108,043.64x = 8,892,779,334.68
  5. Step 5: Solve for x
    x = 8,892,779,334.68/108,043.64
  6. Step 6: Final answer
    x = 82,307.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.