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Finding the Fourth Proportional to 117,477.60, 176,180.40 and 38,573.60

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Solution

The fourth proportional to 117,477.60, 176,180.40 and 38,573.60 is: 57,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,477.60 : 176,180.40 = 38,573.60 : x
  2. Step 2: Convert to fraction form
    117,477.60/176,180.40 = 38,573.60/x
  3. Step 3: Cross multiply
    117,477.60x = 176,180.40 × 38,573.60
  4. Step 4: Simplify right side
    117,477.60x = 6,795,912,277.44
  5. Step 5: Solve for x
    x = 6,795,912,277.44/117,477.60
  6. Step 6: Final answer
    x = 57,848.58

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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.