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Finding the Fourth Proportional to 77,394.46, 116,071.95 and 24,076.01

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Solution

The fourth proportional to 77,394.46, 116,071.95 and 24,076.01 is: 36,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,394.46 : 116,071.95 = 24,076.01 : x
  2. Step 2: Convert to fraction form
    77,394.46/116,071.95 = 24,076.01/x
  3. Step 3: Cross multiply
    77,394.46x = 116,071.95 × 24,076.01
  4. Step 4: Simplify right side
    77,394.46x = 2,794,549,428.92
  5. Step 5: Solve for x
    x = 2,794,549,428.92/77,394.46
  6. Step 6: Final answer
    x = 36,107.87

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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.