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Finding the Fourth Proportional to 46,120, 69,180 and 14,955.25

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Solution

The fourth proportional to 46,120, 69,180 and 14,955.25 is: 22,432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,120 : 69,180 = 14,955.25 : x
  2. Step 2: Convert to fraction form
    46,120/69,180 = 14,955.25/x
  3. Step 3: Cross multiply
    46,120x = 69,180 × 14,955.25
  4. Step 4: Simplify right side
    46,120x = 1,034,604,195
  5. Step 5: Solve for x
    x = 1,034,604,195/46,120
  6. Step 6: Final answer
    x = 22,432.88

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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.