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Finding the Fourth Proportional to 47,109.60, 70,664.40 and 15,944.40

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Solution

The fourth proportional to 47,109.60, 70,664.40 and 15,944.40 is: 23,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,109.60 : 70,664.40 = 15,944.40 : x
  2. Step 2: Convert to fraction form
    47,109.60/70,664.40 = 15,944.40/x
  3. Step 3: Cross multiply
    47,109.60x = 70,664.40 × 15,944.40
  4. Step 4: Simplify right side
    47,109.60x = 1,126,701,459.36
  5. Step 5: Solve for x
    x = 1,126,701,459.36/47,109.60
  6. Step 6: Final answer
    x = 23,916.60

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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.