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Finding the Fourth Proportional to 72,581.76, 100,160.26 and 40,752

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Solution

The fourth proportional to 72,581.76, 100,160.26 and 40,752 is: 56,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,581.76 : 100,160.26 = 40,752 : x
  2. Step 2: Convert to fraction form
    72,581.76/100,160.26 = 40,752/x
  3. Step 3: Cross multiply
    72,581.76x = 100,160.26 × 40,752
  4. Step 4: Simplify right side
    72,581.76x = 4,081,730,915.52
  5. Step 5: Solve for x
    x = 4,081,730,915.52/72,581.76
  6. Step 6: Final answer
    x = 56,236.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.