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Finding the Fourth Proportional to 82,848, 114,331.56 and 47,038.98

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Solution

The fourth proportional to 82,848, 114,331.56 and 47,038.98 is: 64,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,848 : 114,331.56 = 47,038.98 : x
  2. Step 2: Convert to fraction form
    82,848/114,331.56 = 47,038.98/x
  3. Step 3: Cross multiply
    82,848x = 114,331.56 × 47,038.98
  4. Step 4: Simplify right side
    82,848x = 5,378,039,964.21
  5. Step 5: Solve for x
    x = 5,378,039,964.21/82,848
  6. Step 6: Final answer
    x = 64,914.54

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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.