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Finding the Fourth Proportional to 99,577.44, 149,294.34 and 46,935

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Solution

The fourth proportional to 99,577.44, 149,294.34 and 46,935 is: 70,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,577.44 : 149,294.34 = 46,935 : x
  2. Step 2: Convert to fraction form
    99,577.44/149,294.34 = 46,935/x
  3. Step 3: Cross multiply
    99,577.44x = 149,294.34 × 46,935
  4. Step 4: Simplify right side
    99,577.44x = 7,007,129,847.90
  5. Step 5: Solve for x
    x = 7,007,129,847.90/99,577.44
  6. Step 6: Final answer
    x = 70,368.65

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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.