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Finding the Fourth Proportional to 82,421.64, 113,656.32 and 70,524.36

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Solution

The fourth proportional to 82,421.64, 113,656.32 and 70,524.36 is: 97,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,421.64 : 113,656.32 = 70,524.36 : x
  2. Step 2: Convert to fraction form
    82,421.64/113,656.32 = 70,524.36/x
  3. Step 3: Cross multiply
    82,421.64x = 113,656.32 × 70,524.36
  4. Step 4: Simplify right side
    82,421.64x = 8,015,539,227.96
  5. Step 5: Solve for x
    x = 8,015,539,227.96/82,421.64
  6. Step 6: Final answer
    x = 97,250.42

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