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Finding the Fourth Proportional to 84,242.56, 116,253.20 and 46,516

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Solution

The fourth proportional to 84,242.56, 116,253.20 and 46,516 is: 64,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,242.56 : 116,253.20 = 46,516 : x
  2. Step 2: Convert to fraction form
    84,242.56/116,253.20 = 46,516/x
  3. Step 3: Cross multiply
    84,242.56x = 116,253.20 × 46,516
  4. Step 4: Simplify right side
    84,242.56x = 5,407,633,851.20
  5. Step 5: Solve for x
    x = 5,407,633,851.20/84,242.56
  6. Step 6: Final answer
    x = 64,191.23

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Why These Related Problems?

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