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Finding the Fourth Proportional to 46,714.68, 64,466.64 and 25,494.30

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Solution

The fourth proportional to 46,714.68, 64,466.64 and 25,494.30 is: 35,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,714.68 : 64,466.64 = 25,494.30 : x
  2. Step 2: Convert to fraction form
    46,714.68/64,466.64 = 25,494.30/x
  3. Step 3: Cross multiply
    46,714.68x = 64,466.64 × 25,494.30
  4. Step 4: Simplify right side
    46,714.68x = 1,643,531,860.15
  5. Step 5: Solve for x
    x = 1,643,531,860.15/46,714.68
  6. Step 6: Final answer
    x = 35,182.34

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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.