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Finding the Fourth Proportional to 47,133.63, 70,698.60 and 15,968.88

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Solution

The fourth proportional to 47,133.63, 70,698.60 and 15,968.88 is: 23,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,133.63 : 70,698.60 = 15,968.88 : x
  2. Step 2: Convert to fraction form
    47,133.63/70,698.60 = 15,968.88/x
  3. Step 3: Cross multiply
    47,133.63x = 70,698.60 × 15,968.88
  4. Step 4: Simplify right side
    47,133.63x = 1,128,977,459.57
  5. Step 5: Solve for x
    x = 1,128,977,459.57/47,133.63
  6. Step 6: Final answer
    x = 23,952.69

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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.