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Finding the Fourth Proportional to 54,784.48, 75,602.54 and 29,633.98

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Solution

The fourth proportional to 54,784.48, 75,602.54 and 29,633.98 is: 40,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.48 : 75,602.54 = 29,633.98 : x
  2. Step 2: Convert to fraction form
    54,784.48/75,602.54 = 29,633.98/x
  3. Step 3: Cross multiply
    54,784.48x = 75,602.54 × 29,633.98
  4. Step 4: Simplify right side
    54,784.48x = 2,240,404,158.31
  5. Step 5: Solve for x
    x = 2,240,404,158.31/54,784.48
  6. Step 6: Final answer
    x = 40,894.87

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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.