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Finding the Fourth Proportional to 76,078.88, 114,036.36 and 31,693.76

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Solution

The fourth proportional to 76,078.88, 114,036.36 and 31,693.76 is: 47,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,078.88 : 114,036.36 = 31,693.76 : x
  2. Step 2: Convert to fraction form
    76,078.88/114,036.36 = 31,693.76/x
  3. Step 3: Cross multiply
    76,078.88x = 114,036.36 × 31,693.76
  4. Step 4: Simplify right side
    76,078.88x = 3,614,241,025.11
  5. Step 5: Solve for x
    x = 3,614,241,025.11/76,078.88
  6. Step 6: Final answer
    x = 47,506.50

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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.