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Finding the Fourth Proportional to 84,726.48, 116,924.13 and 46,488

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Solution

The fourth proportional to 84,726.48, 116,924.13 and 46,488 is: 64,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,726.48 : 116,924.13 = 46,488 : x
  2. Step 2: Convert to fraction form
    84,726.48/116,924.13 = 46,488/x
  3. Step 3: Cross multiply
    84,726.48x = 116,924.13 × 46,488
  4. Step 4: Simplify right side
    84,726.48x = 5,435,568,955.44
  5. Step 5: Solve for x
    x = 5,435,568,955.44/84,726.48
  6. Step 6: Final answer
    x = 64,154.31

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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.