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Finding the Fourth Proportional to 94,751.96, 142,080.39 and 31,549.82

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Solution

The fourth proportional to 94,751.96, 142,080.39 and 31,549.82 is: 47,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,751.96 : 142,080.39 = 31,549.82 : x
  2. Step 2: Convert to fraction form
    94,751.96/142,080.39 = 31,549.82/x
  3. Step 3: Cross multiply
    94,751.96x = 142,080.39 × 31,549.82
  4. Step 4: Simplify right side
    94,751.96x = 4,482,610,019.63
  5. Step 5: Solve for x
    x = 4,482,610,019.63/94,751.96
  6. Step 6: Final answer
    x = 47,308.89

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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.