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Finding the Fourth Proportional to 47,263.70, 70,905.15 and 16,102.10

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Solution

The fourth proportional to 47,263.70, 70,905.15 and 16,102.10 is: 24,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,263.70 : 70,905.15 = 16,102.10 : x
  2. Step 2: Convert to fraction form
    47,263.70/70,905.15 = 16,102.10/x
  3. Step 3: Cross multiply
    47,263.70x = 70,905.15 × 16,102.10
  4. Step 4: Simplify right side
    47,263.70x = 1,141,721,815.82
  5. Step 5: Solve for x
    x = 1,141,721,815.82/47,263.70
  6. Step 6: Final answer
    x = 24,156.42

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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.