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Finding the Fourth Proportional to 72,038.48, 108,071.73 and 27,661.97

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Solution

The fourth proportional to 72,038.48, 108,071.73 and 27,661.97 is: 41,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,038.48 : 108,071.73 = 27,661.97 : x
  2. Step 2: Convert to fraction form
    72,038.48/108,071.73 = 27,661.97/x
  3. Step 3: Cross multiply
    72,038.48x = 108,071.73 × 27,661.97
  4. Step 4: Simplify right side
    72,038.48x = 2,989,477,223.29
  5. Step 5: Solve for x
    x = 2,989,477,223.29/72,038.48
  6. Step 6: Final answer
    x = 41,498.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.