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Finding the Fourth Proportional to 82,958.64, 114,482.73 and 45,232.89

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Solution

The fourth proportional to 82,958.64, 114,482.73 and 45,232.89 is: 62,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,958.64 : 114,482.73 = 45,232.89 : x
  2. Step 2: Convert to fraction form
    82,958.64/114,482.73 = 45,232.89/x
  3. Step 3: Cross multiply
    82,958.64x = 114,482.73 × 45,232.89
  4. Step 4: Simplify right side
    82,958.64x = 5,178,384,732.99
  5. Step 5: Solve for x
    x = 5,178,384,732.99/82,958.64
  6. Step 6: Final answer
    x = 62,421.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.