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Finding the Fourth Proportional to 46,758.48, 70,140.60 and 13,480.80

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Solution

The fourth proportional to 46,758.48, 70,140.60 and 13,480.80 is: 20,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,758.48 : 70,140.60 = 13,480.80 : x
  2. Step 2: Convert to fraction form
    46,758.48/70,140.60 = 13,480.80/x
  3. Step 3: Cross multiply
    46,758.48x = 70,140.60 × 13,480.80
  4. Step 4: Simplify right side
    46,758.48x = 945,551,400.48
  5. Step 5: Solve for x
    x = 945,551,400.48/46,758.48
  6. Step 6: Final answer
    x = 20,222.03

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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.