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Finding the Fourth Proportional to 46,650, 64,420.74 and 32,541.96

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Solution

The fourth proportional to 46,650, 64,420.74 and 32,541.96 is: 44,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,650 : 64,420.74 = 32,541.96 : x
  2. Step 2: Convert to fraction form
    46,650/64,420.74 = 32,541.96/x
  3. Step 3: Cross multiply
    46,650x = 64,420.74 × 32,541.96
  4. Step 4: Simplify right side
    46,650x = 2,096,377,144.25
  5. Step 5: Solve for x
    x = 2,096,377,144.25/46,650
  6. Step 6: Final answer
    x = 44,938.42

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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.