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Finding the Fourth Proportional to 82,915.56, 114,426.56 and 47,111.64

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Solution

The fourth proportional to 82,915.56, 114,426.56 and 47,111.64 is: 65,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,915.56 : 114,426.56 = 47,111.64 : x
  2. Step 2: Convert to fraction form
    82,915.56/114,426.56 = 47,111.64/x
  3. Step 3: Cross multiply
    82,915.56x = 114,426.56 × 47,111.64
  4. Step 4: Simplify right side
    82,915.56x = 5,390,822,901.16
  5. Step 5: Solve for x
    x = 5,390,822,901.16/82,915.56
  6. Step 6: Final answer
    x = 65,015.82

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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.