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Finding the Fourth Proportional to 53,859.91, 74,329.62 and 29,986.06

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Solution

The fourth proportional to 53,859.91, 74,329.62 and 29,986.06 is: 41,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,859.91 : 74,329.62 = 29,986.06 : x
  2. Step 2: Convert to fraction form
    53,859.91/74,329.62 = 29,986.06/x
  3. Step 3: Cross multiply
    53,859.91x = 74,329.62 × 29,986.06
  4. Step 4: Simplify right side
    53,859.91x = 2,228,852,445.10
  5. Step 5: Solve for x
    x = 2,228,852,445.10/53,859.91
  6. Step 6: Final answer
    x = 41,382.40

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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.