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Finding the Fourth Proportional to 114,830.24, 172,245.12 and 31,724

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Solution

The fourth proportional to 114,830.24, 172,245.12 and 31,724 is: 47,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,830.24 : 172,245.12 = 31,724 : x
  2. Step 2: Convert to fraction form
    114,830.24/172,245.12 = 31,724/x
  3. Step 3: Cross multiply
    114,830.24x = 172,245.12 × 31,724
  4. Step 4: Simplify right side
    114,830.24x = 5,464,304,186.88
  5. Step 5: Solve for x
    x = 5,464,304,186.88/114,830.24
  6. Step 6: Final answer
    x = 47,585.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.