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Finding the Fourth Proportional to 82,384.32, 113,689.16 and 46,573.14

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Solution

The fourth proportional to 82,384.32, 113,689.16 and 46,573.14 is: 64,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,384.32 : 113,689.16 = 46,573.14 : x
  2. Step 2: Convert to fraction form
    82,384.32/113,689.16 = 46,573.14/x
  3. Step 3: Cross multiply
    82,384.32x = 113,689.16 × 46,573.14
  4. Step 4: Simplify right side
    82,384.32x = 5,294,861,165.16
  5. Step 5: Solve for x
    x = 5,294,861,165.16/82,384.32
  6. Step 6: Final answer
    x = 64,270.25

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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.