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Finding the Fourth Proportional to 46,646.63, 64,321.48 and 31,513.01

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Solution

The fourth proportional to 46,646.63, 64,321.48 and 31,513.01 is: 43,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,646.63 : 64,321.48 = 31,513.01 : x
  2. Step 2: Convert to fraction form
    46,646.63/64,321.48 = 31,513.01/x
  3. Step 3: Cross multiply
    46,646.63x = 64,321.48 × 31,513.01
  4. Step 4: Simplify right side
    46,646.63x = 2,026,963,524.48
  5. Step 5: Solve for x
    x = 2,026,963,524.48/46,646.63
  6. Step 6: Final answer
    x = 43,453.59

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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.