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Finding the Fourth Proportional to 82,098.68, 113,302.58 and 45,811.54

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Solution

The fourth proportional to 82,098.68, 113,302.58 and 45,811.54 is: 63,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,098.68 : 113,302.58 = 45,811.54 : x
  2. Step 2: Convert to fraction form
    82,098.68/113,302.58 = 45,811.54/x
  3. Step 3: Cross multiply
    82,098.68x = 113,302.58 × 45,811.54
  4. Step 4: Simplify right side
    82,098.68x = 5,190,565,675.77
  5. Step 5: Solve for x
    x = 5,190,565,675.77/82,098.68
  6. Step 6: Final answer
    x = 63,223.50

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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.