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Finding the Fourth Proportional to 54,807.20, 82,210.80 and 31,414.40

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Solution

The fourth proportional to 54,807.20, 82,210.80 and 31,414.40 is: 47,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,807.20 : 82,210.80 = 31,414.40 : x
  2. Step 2: Convert to fraction form
    54,807.20/82,210.80 = 31,414.40/x
  3. Step 3: Cross multiply
    54,807.20x = 82,210.80 × 31,414.40
  4. Step 4: Simplify right side
    54,807.20x = 2,582,602,955.52
  5. Step 5: Solve for x
    x = 2,582,602,955.52/54,807.20
  6. Step 6: Final answer
    x = 47,121.60

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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.