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Finding the Fourth Proportional to 46,656.96, 69,971.09 and 13,368.10

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Solution

The fourth proportional to 46,656.96, 69,971.09 and 13,368.10 is: 20,048.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656.96 : 69,971.09 = 13,368.10 : x
  2. Step 2: Convert to fraction form
    46,656.96/69,971.09 = 13,368.10/x
  3. Step 3: Cross multiply
    46,656.96x = 69,971.09 × 13,368.10
  4. Step 4: Simplify right side
    46,656.96x = 935,380,286.46
  5. Step 5: Solve for x
    x = 935,380,286.46/46,656.96
  6. Step 6: Final answer
    x = 20,048.03

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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.