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Finding the Fourth Proportional to 34,501.20, 51,751.80 and 30,742.80

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Solution

The fourth proportional to 34,501.20, 51,751.80 and 30,742.80 is: 46,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,501.20 : 51,751.80 = 30,742.80 : x
  2. Step 2: Convert to fraction form
    34,501.20/51,751.80 = 30,742.80/x
  3. Step 3: Cross multiply
    34,501.20x = 51,751.80 × 30,742.80
  4. Step 4: Simplify right side
    34,501.20x = 1,590,995,237.04
  5. Step 5: Solve for x
    x = 1,590,995,237.04/34,501.20
  6. Step 6: Final answer
    x = 46,114.20

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1.5x scale

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.