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Finding the Fourth Proportional to 70,494.40, 105,746.40 and 22,459.20

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Solution

The fourth proportional to 70,494.40, 105,746.40 and 22,459.20 is: 33,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494.40 : 105,746.40 = 22,459.20 : x
  2. Step 2: Convert to fraction form
    70,494.40/105,746.40 = 22,459.20/x
  3. Step 3: Cross multiply
    70,494.40x = 105,746.40 × 22,459.20
  4. Step 4: Simplify right side
    70,494.40x = 2,374,979,546.88
  5. Step 5: Solve for x
    x = 2,374,979,546.88/70,494.40
  6. Step 6: Final answer
    x = 33,690.33

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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.