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Finding the Fourth Proportional to 81,726, 112,783.36 and 45,430.84

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Solution

The fourth proportional to 81,726, 112,783.36 and 45,430.84 is: 62,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,726 : 112,783.36 = 45,430.84 : x
  2. Step 2: Convert to fraction form
    81,726/112,783.36 = 45,430.84/x
  3. Step 3: Cross multiply
    81,726x = 112,783.36 × 45,430.84
  4. Step 4: Simplify right side
    81,726x = 5,123,842,782.82
  5. Step 5: Solve for x
    x = 5,123,842,782.82/81,726
  6. Step 6: Final answer
    x = 62,695.38

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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.