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Finding the Fourth Proportional to 72,925, 109,387.52 and 23,677

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Solution

The fourth proportional to 72,925, 109,387.52 and 23,677 is: 35,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,925 : 109,387.52 = 23,677 : x
  2. Step 2: Convert to fraction form
    72,925/109,387.52 = 23,677/x
  3. Step 3: Cross multiply
    72,925x = 109,387.52 × 23,677
  4. Step 4: Simplify right side
    72,925x = 2,589,968,311.04
  5. Step 5: Solve for x
    x = 2,589,968,311.04/72,925
  6. Step 6: Final answer
    x = 35,515.51

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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.