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Finding the Fourth Proportional to 54,700.80, 82,051.20 and 31,329.60

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Solution

The fourth proportional to 54,700.80, 82,051.20 and 31,329.60 is: 46,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,700.80 : 82,051.20 = 31,329.60 : x
  2. Step 2: Convert to fraction form
    54,700.80/82,051.20 = 31,329.60/x
  3. Step 3: Cross multiply
    54,700.80x = 82,051.20 × 31,329.60
  4. Step 4: Simplify right side
    54,700.80x = 2,570,631,275.52
  5. Step 5: Solve for x
    x = 2,570,631,275.52/54,700.80
  6. Step 6: Final answer
    x = 46,994.40

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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.