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Finding the Fourth Proportional to 70,274.80, 105,412.20 and 46,655.20

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Solution

The fourth proportional to 70,274.80, 105,412.20 and 46,655.20 is: 69,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,274.80 : 105,412.20 = 46,655.20 : x
  2. Step 2: Convert to fraction form
    70,274.80/105,412.20 = 46,655.20/x
  3. Step 3: Cross multiply
    70,274.80x = 105,412.20 × 46,655.20
  4. Step 4: Simplify right side
    70,274.80x = 4,918,027,273.44
  5. Step 5: Solve for x
    x = 4,918,027,273.44/70,274.80
  6. Step 6: Final answer
    x = 69,982.80

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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.