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Finding the Fourth Proportional to 109,518.51, 164,298.05 and 34,657.50

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Solution

The fourth proportional to 109,518.51, 164,298.05 and 34,657.50 is: 51,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,518.51 : 164,298.05 = 34,657.50 : x
  2. Step 2: Convert to fraction form
    109,518.51/164,298.05 = 34,657.50/x
  3. Step 3: Cross multiply
    109,518.51x = 164,298.05 × 34,657.50
  4. Step 4: Simplify right side
    109,518.51x = 5,694,159,667.88
  5. Step 5: Solve for x
    x = 5,694,159,667.88/109,518.51
  6. Step 6: Final answer
    x = 51,992.67

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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.