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Finding the Fourth Proportional to 82,886.99, 114,384.30 and 47,077.30

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Solution

The fourth proportional to 82,886.99, 114,384.30 and 47,077.30 is: 64,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,886.99 : 114,384.30 = 47,077.30 : x
  2. Step 2: Convert to fraction form
    82,886.99/114,384.30 = 47,077.30/x
  3. Step 3: Cross multiply
    82,886.99x = 114,384.30 × 47,077.30
  4. Step 4: Simplify right side
    82,886.99x = 5,384,903,434.47
  5. Step 5: Solve for x
    x = 5,384,903,434.47/82,886.99
  6. Step 6: Final answer
    x = 64,966.81

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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.