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Finding the Fourth Proportional to 108,026, 162,030.84 and 37,910

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Solution

The fourth proportional to 108,026, 162,030.84 and 37,910 is: 56,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,026 : 162,030.84 = 37,910 : x
  2. Step 2: Convert to fraction form
    108,026/162,030.84 = 37,910/x
  3. Step 3: Cross multiply
    108,026x = 162,030.84 × 37,910
  4. Step 4: Simplify right side
    108,026x = 6,142,589,144.40
  5. Step 5: Solve for x
    x = 6,142,589,144.40/108,026
  6. Step 6: Final answer
    x = 56,862.14

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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.