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Finding the Fourth Proportional to 82,144.16, 113,358.40 and 46,334.48

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Solution

The fourth proportional to 82,144.16, 113,358.40 and 46,334.48 is: 63,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,144.16 : 113,358.40 = 46,334.48 : x
  2. Step 2: Convert to fraction form
    82,144.16/113,358.40 = 46,334.48/x
  3. Step 3: Cross multiply
    82,144.16x = 113,358.40 × 46,334.48
  4. Step 4: Simplify right side
    82,144.16x = 5,252,402,517.63
  5. Step 5: Solve for x
    x = 5,252,402,517.63/82,144.16
  6. Step 6: Final answer
    x = 63,941.28

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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.