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Finding the Fourth Proportional to 52,533.81, 72,493.71 and 29,869.61

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Solution

The fourth proportional to 52,533.81, 72,493.71 and 29,869.61 is: 41,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,533.81 : 72,493.71 = 29,869.61 : x
  2. Step 2: Convert to fraction form
    52,533.81/72,493.71 = 29,869.61/x
  3. Step 3: Cross multiply
    52,533.81x = 72,493.71 × 29,869.61
  4. Step 4: Simplify right side
    52,533.81x = 2,165,358,370.67
  5. Step 5: Solve for x
    x = 2,165,358,370.67/52,533.81
  6. Step 6: Final answer
    x = 41,218.38

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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.