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Finding the Fourth Proportional to 82,940.40, 114,455.88 and 51,108.24

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Solution

The fourth proportional to 82,940.40, 114,455.88 and 51,108.24 is: 70,528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,940.40 : 114,455.88 = 51,108.24 : x
  2. Step 2: Convert to fraction form
    82,940.40/114,455.88 = 51,108.24/x
  3. Step 3: Cross multiply
    82,940.40x = 114,455.88 × 51,108.24
  4. Step 4: Simplify right side
    82,940.40x = 5,849,638,584.45
  5. Step 5: Solve for x
    x = 5,849,638,584.45/82,940.40
  6. Step 6: Final answer
    x = 70,528.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.