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Finding the Fourth Proportional to 67,786, 93,544.68 and 41,290

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Solution

The fourth proportional to 67,786, 93,544.68 and 41,290 is: 56,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,786 : 93,544.68 = 41,290 : x
  2. Step 2: Convert to fraction form
    67,786/93,544.68 = 41,290/x
  3. Step 3: Cross multiply
    67,786x = 93,544.68 × 41,290
  4. Step 4: Simplify right side
    67,786x = 3,862,459,837.20
  5. Step 5: Solve for x
    x = 3,862,459,837.20/67,786
  6. Step 6: Final answer
    x = 56,980.20

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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.