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Finding the Fourth Proportional to 82,341.56, 113,637.12 and 46,534.88

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Solution

The fourth proportional to 82,341.56, 113,637.12 and 46,534.88 is: 64,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,341.56 : 113,637.12 = 46,534.88 : x
  2. Step 2: Convert to fraction form
    82,341.56/113,637.12 = 46,534.88/x
  3. Step 3: Cross multiply
    82,341.56x = 113,637.12 × 46,534.88
  4. Step 4: Simplify right side
    82,341.56x = 5,288,089,742.75
  5. Step 5: Solve for x
    x = 5,288,089,742.75/82,341.56
  6. Step 6: Final answer
    x = 64,221.39

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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.