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Finding the Fourth Proportional to 61,510.80, 92,193.30 and 31,913.40

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Solution

The fourth proportional to 61,510.80, 92,193.30 and 31,913.40 is: 47,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,510.80 : 92,193.30 = 31,913.40 : x
  2. Step 2: Convert to fraction form
    61,510.80/92,193.30 = 31,913.40/x
  3. Step 3: Cross multiply
    61,510.80x = 92,193.30 × 31,913.40
  4. Step 4: Simplify right side
    61,510.80x = 2,942,201,660.22
  5. Step 5: Solve for x
    x = 2,942,201,660.22/61,510.80
  6. Step 6: Final answer
    x = 47,832.28

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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.