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Finding the Fourth Proportional to 52,035, 78,049.74 and 14,597.67

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Solution

The fourth proportional to 52,035, 78,049.74 and 14,597.67 is: 21,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035 : 78,049.74 = 14,597.67 : x
  2. Step 2: Convert to fraction form
    52,035/78,049.74 = 14,597.67/x
  3. Step 3: Cross multiply
    52,035x = 78,049.74 × 14,597.67
  4. Step 4: Simplify right side
    52,035x = 1,139,344,348.11
  5. Step 5: Solve for x
    x = 1,139,344,348.11/52,035
  6. Step 6: Final answer
    x = 21,895.73

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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.