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Finding the Fourth Proportional to 53,078.54, 73,246.88 and 29,205.23

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Solution

The fourth proportional to 53,078.54, 73,246.88 and 29,205.23 is: 40,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,078.54 : 73,246.88 = 29,205.23 : x
  2. Step 2: Convert to fraction form
    53,078.54/73,246.88 = 29,205.23/x
  3. Step 3: Cross multiply
    53,078.54x = 73,246.88 × 29,205.23
  4. Step 4: Simplify right side
    53,078.54x = 2,139,191,831.16
  5. Step 5: Solve for x
    x = 2,139,191,831.16/53,078.54
  6. Step 6: Final answer
    x = 40,302.39

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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.