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Finding the Fourth Proportional to 42,840.64, 63,969.40 and 37,801

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Solution

The fourth proportional to 42,840.64, 63,969.40 and 37,801 is: 56,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,840.64 : 63,969.40 = 37,801 : x
  2. Step 2: Convert to fraction form
    42,840.64/63,969.40 = 37,801/x
  3. Step 3: Cross multiply
    42,840.64x = 63,969.40 × 37,801
  4. Step 4: Simplify right side
    42,840.64x = 2,418,107,289.40
  5. Step 5: Solve for x
    x = 2,418,107,289.40/42,840.64
  6. Step 6: Final answer
    x = 56,444.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.