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Finding the Fourth Proportional to 31,831,623.20, 47,747,434.80 and 31,831,623.20

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Solution

The fourth proportional to 31,831,623.20, 47,747,434.80 and 31,831,623.20 is: 47,747,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831,623.20 : 47,747,434.80 = 31,831,623.20 : x
  2. Step 2: Convert to fraction form
    31,831,623.20/47,747,434.80 = 31,831,623.20/x
  3. Step 3: Cross multiply
    31,831,623.20x = 47,747,434.80 × 31,831,623.20
  4. Step 4: Simplify right side
    31,831,623.20x = 1,519,878,353,320,167.25
  5. Step 5: Solve for x
    x = 1,519,878,353,320,167.25/31,831,623.20
  6. Step 6: Final answer
    x = 47,747,434.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.