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Finding the Fourth Proportional to 38,569.61, 53,210.85 and 24,221

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Solution

The fourth proportional to 38,569.61, 53,210.85 and 24,221 is: 33,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569.61 : 53,210.85 = 24,221 : x
  2. Step 2: Convert to fraction form
    38,569.61/53,210.85 = 24,221/x
  3. Step 3: Cross multiply
    38,569.61x = 53,210.85 × 24,221
  4. Step 4: Simplify right side
    38,569.61x = 1,288,819,997.85
  5. Step 5: Solve for x
    x = 1,288,819,997.85/38,569.61
  6. Step 6: Final answer
    x = 33,415.43

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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.