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Finding the Fourth Proportional to 54,133.29, 74,703.69 and 30,259.80

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Solution

The fourth proportional to 54,133.29, 74,703.69 and 30,259.80 is: 41,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,133.29 : 74,703.69 = 30,259.80 : x
  2. Step 2: Convert to fraction form
    54,133.29/74,703.69 = 30,259.80/x
  3. Step 3: Cross multiply
    54,133.29x = 74,703.69 × 30,259.80
  4. Step 4: Simplify right side
    54,133.29x = 2,260,518,718.66
  5. Step 5: Solve for x
    x = 2,260,518,718.66/54,133.29
  6. Step 6: Final answer
    x = 41,758.38

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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.