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Finding the Fourth Proportional to 82,451.76, 113,783.76 and 44,726.28

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Solution

The fourth proportional to 82,451.76, 113,783.76 and 44,726.28 is: 61,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,451.76 : 113,783.76 = 44,726.28 : x
  2. Step 2: Convert to fraction form
    82,451.76/113,783.76 = 44,726.28/x
  3. Step 3: Cross multiply
    82,451.76x = 113,783.76 × 44,726.28
  4. Step 4: Simplify right side
    82,451.76x = 5,089,124,309.21
  5. Step 5: Solve for x
    x = 5,089,124,309.21/82,451.76
  6. Step 6: Final answer
    x = 61,722.45

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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.