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Finding the Fourth Proportional to 34,607.58, 51,905.70 and 12,416.82

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Solution

The fourth proportional to 34,607.58, 51,905.70 and 12,416.82 is: 18,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,607.58 : 51,905.70 = 12,416.82 : x
  2. Step 2: Convert to fraction form
    34,607.58/51,905.70 = 12,416.82/x
  3. Step 3: Cross multiply
    34,607.58x = 51,905.70 × 12,416.82
  4. Step 4: Simplify right side
    34,607.58x = 644,503,733.87
  5. Step 5: Solve for x
    x = 644,503,733.87/34,607.58
  6. Step 6: Final answer
    x = 18,623.20

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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.