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Finding the Fourth Proportional to 84,210.16, 126,354.12 and 37,493.68

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Solution

The fourth proportional to 84,210.16, 126,354.12 and 37,493.68 is: 56,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,210.16 : 126,354.12 = 37,493.68 : x
  2. Step 2: Convert to fraction form
    84,210.16/126,354.12 = 37,493.68/x
  3. Step 3: Cross multiply
    84,210.16x = 126,354.12 × 37,493.68
  4. Step 4: Simplify right side
    84,210.16x = 4,737,480,941.96
  5. Step 5: Solve for x
    x = 4,737,480,941.96/84,210.16
  6. Step 6: Final answer
    x = 56,257.83

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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.