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Finding the Fourth Proportional to 53,279.16, 73,530.06 and 32,055

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Solution

The fourth proportional to 53,279.16, 73,530.06 and 32,055 is: 44,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,279.16 : 73,530.06 = 32,055 : x
  2. Step 2: Convert to fraction form
    53,279.16/73,530.06 = 32,055/x
  3. Step 3: Cross multiply
    53,279.16x = 73,530.06 × 32,055
  4. Step 4: Simplify right side
    53,279.16x = 2,357,006,073.30
  5. Step 5: Solve for x
    x = 2,357,006,073.30/53,279.16
  6. Step 6: Final answer
    x = 44,238.80

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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.