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Finding the Fourth Proportional to 35,758.98, 53,631.12 and 14,678.46

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Solution

The fourth proportional to 35,758.98, 53,631.12 and 14,678.46 is: 22,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758.98 : 53,631.12 = 14,678.46 : x
  2. Step 2: Convert to fraction form
    35,758.98/53,631.12 = 14,678.46/x
  3. Step 3: Cross multiply
    35,758.98x = 53,631.12 × 14,678.46
  4. Step 4: Simplify right side
    35,758.98x = 787,222,249.68
  5. Step 5: Solve for x
    x = 787,222,249.68/35,758.98
  6. Step 6: Final answer
    x = 22,014.67

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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.