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Finding the Fourth Proportional to 84,555.48, 116,691.12 and 46,830

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Solution

The fourth proportional to 84,555.48, 116,691.12 and 46,830 is: 64,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,555.48 : 116,691.12 = 46,830 : x
  2. Step 2: Convert to fraction form
    84,555.48/116,691.12 = 46,830/x
  3. Step 3: Cross multiply
    84,555.48x = 116,691.12 × 46,830
  4. Step 4: Simplify right side
    84,555.48x = 5,464,645,149.60
  5. Step 5: Solve for x
    x = 5,464,645,149.60/84,555.48
  6. Step 6: Final answer
    x = 64,627.92

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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.