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Finding the Fourth Proportional to 52,506.83, 72,459.54 and 29,845.96

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Solution

The fourth proportional to 52,506.83, 72,459.54 and 29,845.96 is: 41,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,506.83 : 72,459.54 = 29,845.96 : x
  2. Step 2: Convert to fraction form
    52,506.83/72,459.54 = 29,845.96/x
  3. Step 3: Cross multiply
    52,506.83x = 72,459.54 × 29,845.96
  4. Step 4: Simplify right side
    52,506.83x = 2,162,624,532.46
  5. Step 5: Solve for x
    x = 2,162,624,532.46/52,506.83
  6. Step 6: Final answer
    x = 41,187.49

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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.