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Finding the Fourth Proportional to 53,465.40, 73,780.38 and 29,592.12

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Solution

The fourth proportional to 53,465.40, 73,780.38 and 29,592.12 is: 40,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,465.40 : 73,780.38 = 29,592.12 : x
  2. Step 2: Convert to fraction form
    53,465.40/73,780.38 = 29,592.12/x
  3. Step 3: Cross multiply
    53,465.40x = 73,780.38 × 29,592.12
  4. Step 4: Simplify right side
    53,465.40x = 2,183,317,858.61
  5. Step 5: Solve for x
    x = 2,183,317,858.61/53,465.40
  6. Step 6: Final answer
    x = 40,836.09

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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.