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Finding the Fourth Proportional to 81,793, 112,828.14 and 51,526.36

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Solution

The fourth proportional to 81,793, 112,828.14 and 51,526.36 is: 71,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,793 : 112,828.14 = 51,526.36 : x
  2. Step 2: Convert to fraction form
    81,793/112,828.14 = 51,526.36/x
  3. Step 3: Cross multiply
    81,793x = 112,828.14 × 51,526.36
  4. Step 4: Simplify right side
    81,793x = 5,813,623,359.77
  5. Step 5: Solve for x
    x = 5,813,623,359.77/81,793
  6. Step 6: Final answer
    x = 71,077.27

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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.