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Finding the Fourth Proportional to 34,783.20, 52,101.90 and 31,089.60

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Solution

The fourth proportional to 34,783.20, 52,101.90 and 31,089.60 is: 46,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,783.20 : 52,101.90 = 31,089.60 : x
  2. Step 2: Convert to fraction form
    34,783.20/52,101.90 = 31,089.60/x
  3. Step 3: Cross multiply
    34,783.20x = 52,101.90 × 31,089.60
  4. Step 4: Simplify right side
    34,783.20x = 1,619,827,230.24
  5. Step 5: Solve for x
    x = 1,619,827,230.24/34,783.20
  6. Step 6: Final answer
    x = 46,569.24

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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.