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Finding the Fourth Proportional to 46,713, 70,069.14 and 13,433.34

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Solution

The fourth proportional to 46,713, 70,069.14 and 13,433.34 is: 20,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,713 : 70,069.14 = 13,433.34 : x
  2. Step 2: Convert to fraction form
    46,713/70,069.14 = 13,433.34/x
  3. Step 3: Cross multiply
    46,713x = 70,069.14 × 13,433.34
  4. Step 4: Simplify right side
    46,713x = 941,262,581.13
  5. Step 5: Solve for x
    x = 941,262,581.13/46,713
  6. Step 6: Final answer
    x = 20,149.91

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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.