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Finding the Fourth Proportional to 53,303.59, 73,560.10 and 29,431.77

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Solution

The fourth proportional to 53,303.59, 73,560.10 and 29,431.77 is: 40,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,303.59 : 73,560.10 = 29,431.77 : x
  2. Step 2: Convert to fraction form
    53,303.59/73,560.10 = 29,431.77/x
  3. Step 3: Cross multiply
    53,303.59x = 73,560.10 × 29,431.77
  4. Step 4: Simplify right side
    53,303.59x = 2,165,003,944.38
  5. Step 5: Solve for x
    x = 2,165,003,944.38/53,303.59
  6. Step 6: Final answer
    x = 40,616.48

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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.