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Finding the Fourth Proportional to 46,903.58, 64,714.11 and 30,146.30

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Solution

The fourth proportional to 46,903.58, 64,714.11 and 30,146.30 is: 41,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,903.58 : 64,714.11 = 30,146.30 : x
  2. Step 2: Convert to fraction form
    46,903.58/64,714.11 = 30,146.30/x
  3. Step 3: Cross multiply
    46,903.58x = 64,714.11 × 30,146.30
  4. Step 4: Simplify right side
    46,903.58x = 1,950,890,974.29
  5. Step 5: Solve for x
    x = 1,950,890,974.29/46,903.58
  6. Step 6: Final answer
    x = 41,593.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.