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Finding the Fourth Proportional to 76,946, 106,185.80 and 41,618

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Solution

The fourth proportional to 76,946, 106,185.80 and 41,618 is: 57,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,946 : 106,185.80 = 41,618 : x
  2. Step 2: Convert to fraction form
    76,946/106,185.80 = 41,618/x
  3. Step 3: Cross multiply
    76,946x = 106,185.80 × 41,618
  4. Step 4: Simplify right side
    76,946x = 4,419,240,624.40
  5. Step 5: Solve for x
    x = 4,419,240,624.40/76,946
  6. Step 6: Final answer
    x = 57,433.01

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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.