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Finding the Fourth Proportional to 32,980.87, 49,443.56 and 10,782.14

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Solution

The fourth proportional to 32,980.87, 49,443.56 and 10,782.14 is: 16,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.87 : 49,443.56 = 10,782.14 : x
  2. Step 2: Convert to fraction form
    32,980.87/49,443.56 = 10,782.14/x
  3. Step 3: Cross multiply
    32,980.87x = 49,443.56 × 10,782.14
  4. Step 4: Simplify right side
    32,980.87x = 533,107,332.11
  5. Step 5: Solve for x
    x = 533,107,332.11/32,980.87
  6. Step 6: Final answer
    x = 16,164.14

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1.5x scale

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.