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Finding the Fourth Proportional to 82,270.66, 113,527.28 and 46,455.70

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Solution

The fourth proportional to 82,270.66, 113,527.28 and 46,455.70 is: 64,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,270.66 : 113,527.28 = 46,455.70 : x
  2. Step 2: Convert to fraction form
    82,270.66/113,527.28 = 46,455.70/x
  3. Step 3: Cross multiply
    82,270.66x = 113,527.28 × 46,455.70
  4. Step 4: Simplify right side
    82,270.66x = 5,273,989,261.50
  5. Step 5: Solve for x
    x = 5,273,989,261.50/82,270.66
  6. Step 6: Final answer
    x = 64,105.35

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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.