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Finding the Fourth Proportional to 77,354.40, 116,042.40 and 32,980.80

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Solution

The fourth proportional to 77,354.40, 116,042.40 and 32,980.80 is: 49,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,354.40 : 116,042.40 = 32,980.80 : x
  2. Step 2: Convert to fraction form
    77,354.40/116,042.40 = 32,980.80/x
  3. Step 3: Cross multiply
    77,354.40x = 116,042.40 × 32,980.80
  4. Step 4: Simplify right side
    77,354.40x = 3,827,171,185.92
  5. Step 5: Solve for x
    x = 3,827,171,185.92/77,354.40
  6. Step 6: Final answer
    x = 49,475.80

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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.