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Finding the Fourth Proportional to 109,842.50, 164,649.62 and 46,703.14

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Solution

The fourth proportional to 109,842.50, 164,649.62 and 46,703.14 is: 70,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,842.50 : 164,649.62 = 46,703.14 : x
  2. Step 2: Convert to fraction form
    109,842.50/164,649.62 = 46,703.14/x
  3. Step 3: Cross multiply
    109,842.50x = 164,649.62 × 46,703.14
  4. Step 4: Simplify right side
    109,842.50x = 7,689,653,958.94
  5. Step 5: Solve for x
    x = 7,689,653,958.94/109,842.50
  6. Step 6: Final answer
    x = 70,006.18

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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.