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Finding the Fourth Proportional to 76,090.58, 114,074 and 31,750.36

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Solution

The fourth proportional to 76,090.58, 114,074 and 31,750.36 is: 47,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,090.58 : 114,074 = 31,750.36 : x
  2. Step 2: Convert to fraction form
    76,090.58/114,074 = 31,750.36/x
  3. Step 3: Cross multiply
    76,090.58x = 114,074 × 31,750.36
  4. Step 4: Simplify right side
    76,090.58x = 3,621,890,566.64
  5. Step 5: Solve for x
    x = 3,621,890,566.64/76,090.58
  6. Step 6: Final answer
    x = 47,599.72

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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.