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Finding the Fourth Proportional to 40,938, 56,490.40 and 23,032.60

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Solution

The fourth proportional to 40,938, 56,490.40 and 23,032.60 is: 31,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,938 : 56,490.40 = 23,032.60 : x
  2. Step 2: Convert to fraction form
    40,938/56,490.40 = 23,032.60/x
  3. Step 3: Cross multiply
    40,938x = 56,490.40 × 23,032.60
  4. Step 4: Simplify right side
    40,938x = 1,301,120,787.04
  5. Step 5: Solve for x
    x = 1,301,120,787.04/40,938
  6. Step 6: Final answer
    x = 31,782.72

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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.