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Finding the Fourth Proportional to 46,908.40, 70,346.40 and 13,619.44

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Solution

The fourth proportional to 46,908.40, 70,346.40 and 13,619.44 is: 20,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,908.40 : 70,346.40 = 13,619.44 : x
  2. Step 2: Convert to fraction form
    46,908.40/70,346.40 = 13,619.44/x
  3. Step 3: Cross multiply
    46,908.40x = 70,346.40 × 13,619.44
  4. Step 4: Simplify right side
    46,908.40x = 958,078,574.02
  5. Step 5: Solve for x
    x = 958,078,574.02/46,908.40
  6. Step 6: Final answer
    x = 20,424.46

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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.