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Finding the Fourth Proportional to 54,703.50, 75,490.89 and 29,553

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Solution

The fourth proportional to 54,703.50, 75,490.89 and 29,553 is: 40,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,703.50 : 75,490.89 = 29,553 : x
  2. Step 2: Convert to fraction form
    54,703.50/75,490.89 = 29,553/x
  3. Step 3: Cross multiply
    54,703.50x = 75,490.89 × 29,553
  4. Step 4: Simplify right side
    54,703.50x = 2,230,982,272.17
  5. Step 5: Solve for x
    x = 2,230,982,272.17/54,703.50
  6. Step 6: Final answer
    x = 40,783.17

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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.