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Finding the Fourth Proportional to 82,323.14, 113,547.02 and 53,589.87

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Solution

The fourth proportional to 82,323.14, 113,547.02 and 53,589.87 is: 73,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,323.14 : 113,547.02 = 53,589.87 : x
  2. Step 2: Convert to fraction form
    82,323.14/113,547.02 = 53,589.87/x
  3. Step 3: Cross multiply
    82,323.14x = 113,547.02 × 53,589.87
  4. Step 4: Simplify right side
    82,323.14x = 6,084,969,772.74
  5. Step 5: Solve for x
    x = 6,084,969,772.74/82,323.14
  6. Step 6: Final answer
    x = 73,915.67

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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.