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Finding the Fourth Proportional to 97,115.32, 145,809.28 and 49,764.44

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Solution

The fourth proportional to 97,115.32, 145,809.28 and 49,764.44 is: 74,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,115.32 : 145,809.28 = 49,764.44 : x
  2. Step 2: Convert to fraction form
    97,115.32/145,809.28 = 49,764.44/x
  3. Step 3: Cross multiply
    97,115.32x = 145,809.28 × 49,764.44
  4. Step 4: Simplify right side
    97,115.32x = 7,256,116,492.63
  5. Step 5: Solve for x
    x = 7,256,116,492.63/97,115.32
  6. Step 6: Final answer
    x = 74,716.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.