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Finding the Fourth Proportional to 77,374.94, 116,095.20 and 42,273.62

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Solution

The fourth proportional to 77,374.94, 116,095.20 and 42,273.62 is: 63,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,374.94 : 116,095.20 = 42,273.62 : x
  2. Step 2: Convert to fraction form
    77,374.94/116,095.20 = 42,273.62/x
  3. Step 3: Cross multiply
    77,374.94x = 116,095.20 × 42,273.62
  4. Step 4: Simplify right side
    77,374.94x = 4,907,764,368.62
  5. Step 5: Solve for x
    x = 4,907,764,368.62/77,374.94
  6. Step 6: Final answer
    x = 63,428.34

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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.