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Finding the Fourth Proportional to 61,410.88, 92,063.04 and 31,813.12

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Solution

The fourth proportional to 61,410.88, 92,063.04 and 31,813.12 is: 47,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,410.88 : 92,063.04 = 31,813.12 : x
  2. Step 2: Convert to fraction form
    61,410.88/92,063.04 = 31,813.12/x
  3. Step 3: Cross multiply
    61,410.88x = 92,063.04 × 31,813.12
  4. Step 4: Simplify right side
    61,410.88x = 2,928,812,539.08
  5. Step 5: Solve for x
    x = 2,928,812,539.08/61,410.88
  6. Step 6: Final answer
    x = 47,692.08

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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.