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Finding the Fourth Proportional to 38,415.70, 53,008.44 and 21,417.85

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Solution

The fourth proportional to 38,415.70, 53,008.44 and 21,417.85 is: 29,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.70 : 53,008.44 = 21,417.85 : x
  2. Step 2: Convert to fraction form
    38,415.70/53,008.44 = 21,417.85/x
  3. Step 3: Cross multiply
    38,415.70x = 53,008.44 × 21,417.85
  4. Step 4: Simplify right side
    38,415.70x = 1,135,326,551.61
  5. Step 5: Solve for x
    x = 1,135,326,551.61/38,415.70
  6. Step 6: Final answer
    x = 29,553.72

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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.