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Finding the Fourth Proportional to 68,104.71, 102,242.12 and 46,016.01

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Solution

The fourth proportional to 68,104.71, 102,242.12 and 46,016.01 is: 69,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,104.71 : 102,242.12 = 46,016.01 : x
  2. Step 2: Convert to fraction form
    68,104.71/102,242.12 = 46,016.01/x
  3. Step 3: Cross multiply
    68,104.71x = 102,242.12 × 46,016.01
  4. Step 4: Simplify right side
    68,104.71x = 4,704,774,186.26
  5. Step 5: Solve for x
    x = 4,704,774,186.26/68,104.71
  6. Step 6: Final answer
    x = 69,081.48

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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.