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Finding the Fourth Proportional to 82,894.61, 124,315.76 and 35,497.19

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Solution

The fourth proportional to 82,894.61, 124,315.76 and 35,497.19 is: 53,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,894.61 : 124,315.76 = 35,497.19 : x
  2. Step 2: Convert to fraction form
    82,894.61/124,315.76 = 35,497.19/x
  3. Step 3: Cross multiply
    82,894.61x = 124,315.76 × 35,497.19
  4. Step 4: Simplify right side
    82,894.61x = 4,412,860,552.25
  5. Step 5: Solve for x
    x = 4,412,860,552.25/82,894.61
  6. Step 6: Final answer
    x = 53,234.59

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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.