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Finding the Fourth Proportional to 103,436.25, 142,742.16 and 58,724.25

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Solution

The fourth proportional to 103,436.25, 142,742.16 and 58,724.25 is: 81,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,436.25 : 142,742.16 = 58,724.25 : x
  2. Step 2: Convert to fraction form
    103,436.25/142,742.16 = 58,724.25/x
  3. Step 3: Cross multiply
    103,436.25x = 142,742.16 × 58,724.25
  4. Step 4: Simplify right side
    103,436.25x = 8,382,426,289.38
  5. Step 5: Solve for x
    x = 8,382,426,289.38/103,436.25
  6. Step 6: Final answer
    x = 81,039.54

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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.