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Finding the Fourth Proportional to 76,808, 105,995.04 and 41,480

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Solution

The fourth proportional to 76,808, 105,995.04 and 41,480 is: 57,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,808 : 105,995.04 = 41,480 : x
  2. Step 2: Convert to fraction form
    76,808/105,995.04 = 41,480/x
  3. Step 3: Cross multiply
    76,808x = 105,995.04 × 41,480
  4. Step 4: Simplify right side
    76,808x = 4,396,674,259.20
  5. Step 5: Solve for x
    x = 4,396,674,259.20/76,808
  6. Step 6: Final answer
    x = 57,242.40

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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.