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Finding the Fourth Proportional to 109,758.56, 164,605.32 and 46,577.84

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Solution

The fourth proportional to 109,758.56, 164,605.32 and 46,577.84 is: 69,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,758.56 : 164,605.32 = 46,577.84 : x
  2. Step 2: Convert to fraction form
    109,758.56/164,605.32 = 46,577.84/x
  3. Step 3: Cross multiply
    109,758.56x = 164,605.32 × 46,577.84
  4. Step 4: Simplify right side
    109,758.56x = 7,666,960,258.11
  5. Step 5: Solve for x
    x = 7,666,960,258.11/109,758.56
  6. Step 6: Final answer
    x = 69,852.96

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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.