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Finding the Fourth Proportional to 70,579.60, 105,869.40 and 31,094.80

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Solution

The fourth proportional to 70,579.60, 105,869.40 and 31,094.80 is: 46,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,579.60 : 105,869.40 = 31,094.80 : x
  2. Step 2: Convert to fraction form
    70,579.60/105,869.40 = 31,094.80/x
  3. Step 3: Cross multiply
    70,579.60x = 105,869.40 × 31,094.80
  4. Step 4: Simplify right side
    70,579.60x = 3,291,987,819.12
  5. Step 5: Solve for x
    x = 3,291,987,819.12/70,579.60
  6. Step 6: Final answer
    x = 46,642.20

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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.