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Finding the Fourth Proportional to 103,954.29, 155,943.63 and 36,465.69

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Solution

The fourth proportional to 103,954.29, 155,943.63 and 36,465.69 is: 54,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,954.29 : 155,943.63 = 36,465.69 : x
  2. Step 2: Convert to fraction form
    103,954.29/155,943.63 = 36,465.69/x
  3. Step 3: Cross multiply
    103,954.29x = 155,943.63 × 36,465.69
  4. Step 4: Simplify right side
    103,954.29x = 5,686,592,653.84
  5. Step 5: Solve for x
    x = 5,686,592,653.84/103,954.29
  6. Step 6: Final answer
    x = 54,702.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.