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Finding the Fourth Proportional to 53,798.50, 74,241.93 and 30,246.50

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Solution

The fourth proportional to 53,798.50, 74,241.93 and 30,246.50 is: 41,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,798.50 : 74,241.93 = 30,246.50 : x
  2. Step 2: Convert to fraction form
    53,798.50/74,241.93 = 30,246.50/x
  3. Step 3: Cross multiply
    53,798.50x = 74,241.93 × 30,246.50
  4. Step 4: Simplify right side
    53,798.50x = 2,245,558,535.75
  5. Step 5: Solve for x
    x = 2,245,558,535.75/53,798.50
  6. Step 6: Final answer
    x = 41,740.17

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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.