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Finding the Fourth Proportional to 32,970.80, 49,451.12 and 10,784.30

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Solution

The fourth proportional to 32,970.80, 49,451.12 and 10,784.30 is: 16,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.80 : 49,451.12 = 10,784.30 : x
  2. Step 2: Convert to fraction form
    32,970.80/49,451.12 = 10,784.30/x
  3. Step 3: Cross multiply
    32,970.80x = 49,451.12 × 10,784.30
  4. Step 4: Simplify right side
    32,970.80x = 533,295,713.42
  5. Step 5: Solve for x
    x = 533,295,713.42/32,970.80
  6. Step 6: Final answer
    x = 16,174.79

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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.