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Finding the Fourth Proportional to 53,347.01, 73,616.01 and 30,682.40

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Solution

The fourth proportional to 53,347.01, 73,616.01 and 30,682.40 is: 42,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,347.01 : 73,616.01 = 30,682.40 : x
  2. Step 2: Convert to fraction form
    53,347.01/73,616.01 = 30,682.40/x
  3. Step 3: Cross multiply
    53,347.01x = 73,616.01 × 30,682.40
  4. Step 4: Simplify right side
    53,347.01x = 2,258,715,865.22
  5. Step 5: Solve for x
    x = 2,258,715,865.22/53,347.01
  6. Step 6: Final answer
    x = 42,340.06

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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.