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Finding the Fourth Proportional to 70,531.60, 105,794.40 and 23,784.40

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Solution

The fourth proportional to 70,531.60, 105,794.40 and 23,784.40 is: 35,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,531.60 : 105,794.40 = 23,784.40 : x
  2. Step 2: Convert to fraction form
    70,531.60/105,794.40 = 23,784.40/x
  3. Step 3: Cross multiply
    70,531.60x = 105,794.40 × 23,784.40
  4. Step 4: Simplify right side
    70,531.60x = 2,516,256,327.36
  5. Step 5: Solve for x
    x = 2,516,256,327.36/70,531.60
  6. Step 6: Final answer
    x = 35,675.59

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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.