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Finding the Fourth Proportional to 82,534.24, 113,642.22 and 64,457.98

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Solution

The fourth proportional to 82,534.24, 113,642.22 and 64,457.98 is: 88,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,534.24 : 113,642.22 = 64,457.98 : x
  2. Step 2: Convert to fraction form
    82,534.24/113,642.22 = 64,457.98/x
  3. Step 3: Cross multiply
    82,534.24x = 113,642.22 × 64,457.98
  4. Step 4: Simplify right side
    82,534.24x = 7,325,148,176.12
  5. Step 5: Solve for x
    x = 7,325,148,176.12/82,534.24
  6. Step 6: Final answer
    x = 88,752.84

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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.