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Finding the Fourth Proportional to 72,955, 109,446.90 and 23,042.80

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Solution

The fourth proportional to 72,955, 109,446.90 and 23,042.80 is: 34,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,955 : 109,446.90 = 23,042.80 : x
  2. Step 2: Convert to fraction form
    72,955/109,446.90 = 23,042.80/x
  3. Step 3: Cross multiply
    72,955x = 109,446.90 × 23,042.80
  4. Step 4: Simplify right side
    72,955x = 2,521,963,027.32
  5. Step 5: Solve for x
    x = 2,521,963,027.32/72,955
  6. Step 6: Final answer
    x = 34,568.75

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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.