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Finding the Fourth Proportional to 58,205.04, 80,322.48 and 33,054

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Solution

The fourth proportional to 58,205.04, 80,322.48 and 33,054 is: 45,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,205.04 : 80,322.48 = 33,054 : x
  2. Step 2: Convert to fraction form
    58,205.04/80,322.48 = 33,054/x
  3. Step 3: Cross multiply
    58,205.04x = 80,322.48 × 33,054
  4. Step 4: Simplify right side
    58,205.04x = 2,654,979,253.92
  5. Step 5: Solve for x
    x = 2,654,979,253.92/58,205.04
  6. Step 6: Final answer
    x = 45,614.25

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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.