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Finding the Fourth Proportional to 53,656.96, 74,049.96 and 29,784.03

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Solution

The fourth proportional to 53,656.96, 74,049.96 and 29,784.03 is: 41,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,656.96 : 74,049.96 = 29,784.03 : x
  2. Step 2: Convert to fraction form
    53,656.96/74,049.96 = 29,784.03/x
  3. Step 3: Cross multiply
    53,656.96x = 74,049.96 × 29,784.03
  4. Step 4: Simplify right side
    53,656.96x = 2,205,506,230.14
  5. Step 5: Solve for x
    x = 2,205,506,230.14/53,656.96
  6. Step 6: Final answer
    x = 41,103.82

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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.