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Finding the Fourth Proportional to 54,870.68, 82,289.74 and 23,280.32

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Solution

The fourth proportional to 54,870.68, 82,289.74 and 23,280.32 is: 34,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,870.68 : 82,289.74 = 23,280.32 : x
  2. Step 2: Convert to fraction form
    54,870.68/82,289.74 = 23,280.32/x
  3. Step 3: Cross multiply
    54,870.68x = 82,289.74 × 23,280.32
  4. Step 4: Simplify right side
    54,870.68x = 1,915,731,479.92
  5. Step 5: Solve for x
    x = 1,915,731,479.92/54,870.68
  6. Step 6: Final answer
    x = 34,913.57

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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.