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Finding the Fourth Proportional to 82,175.69, 113,407.79 and 46,352.63

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Solution

The fourth proportional to 82,175.69, 113,407.79 and 46,352.63 is: 63,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,175.69 : 113,407.79 = 46,352.63 : x
  2. Step 2: Convert to fraction form
    82,175.69/113,407.79 = 46,352.63/x
  3. Step 3: Cross multiply
    82,175.69x = 113,407.79 × 46,352.63
  4. Step 4: Simplify right side
    82,175.69x = 5,256,748,530.19
  5. Step 5: Solve for x
    x = 5,256,748,530.19/82,175.69
  6. Step 6: Final answer
    x = 63,969.63

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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.