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Finding the Fourth Proportional to 53,773, 74,202.50 and 29,898.20

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Solution

The fourth proportional to 53,773, 74,202.50 and 29,898.20 is: 41,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,773 : 74,202.50 = 29,898.20 : x
  2. Step 2: Convert to fraction form
    53,773/74,202.50 = 29,898.20/x
  3. Step 3: Cross multiply
    53,773x = 74,202.50 × 29,898.20
  4. Step 4: Simplify right side
    53,773x = 2,218,521,185.50
  5. Step 5: Solve for x
    x = 2,218,521,185.50/53,773
  6. Step 6: Final answer
    x = 41,257.16

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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.