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Finding the Fourth Proportional to 109,665.50, 164,464.76 and 46,484.44

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Solution

The fourth proportional to 109,665.50, 164,464.76 and 46,484.44 is: 69,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,665.50 : 164,464.76 = 46,484.44 : x
  2. Step 2: Convert to fraction form
    109,665.50/164,464.76 = 46,484.44/x
  3. Step 3: Cross multiply
    109,665.50x = 164,464.76 × 46,484.44
  4. Step 4: Simplify right side
    109,665.50x = 7,645,051,973.38
  5. Step 5: Solve for x
    x = 7,645,051,973.38/109,665.50
  6. Step 6: Final answer
    x = 69,712.46

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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.