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Finding the Fourth Proportional to 34,992.40, 52,411.80 and 31,101.20

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Solution

The fourth proportional to 34,992.40, 52,411.80 and 31,101.20 is: 46,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,992.40 : 52,411.80 = 31,101.20 : x
  2. Step 2: Convert to fraction form
    34,992.40/52,411.80 = 31,101.20/x
  3. Step 3: Cross multiply
    34,992.40x = 52,411.80 × 31,101.20
  4. Step 4: Simplify right side
    34,992.40x = 1,630,069,874.16
  5. Step 5: Solve for x
    x = 1,630,069,874.16/34,992.40
  6. Step 6: Final answer
    x = 46,583.54

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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.