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Finding the Fourth Proportional to 46,482.75, 69,723.72 and 31,654.89

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Solution

The fourth proportional to 46,482.75, 69,723.72 and 31,654.89 is: 47,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,482.75 : 69,723.72 = 31,654.89 : x
  2. Step 2: Convert to fraction form
    46,482.75/69,723.72 = 31,654.89/x
  3. Step 3: Cross multiply
    46,482.75x = 69,723.72 × 31,654.89
  4. Step 4: Simplify right side
    46,482.75x = 2,207,096,686.99
  5. Step 5: Solve for x
    x = 2,207,096,686.99/46,482.75
  6. Step 6: Final answer
    x = 47,482.06

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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.