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Finding the Fourth Proportional to 82,866.04, 114,355.88 and 47,056.80

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Solution

The fourth proportional to 82,866.04, 114,355.88 and 47,056.80 is: 64,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.04 : 114,355.88 = 47,056.80 : x
  2. Step 2: Convert to fraction form
    82,866.04/114,355.88 = 47,056.80/x
  3. Step 3: Cross multiply
    82,866.04x = 114,355.88 × 47,056.80
  4. Step 4: Simplify right side
    82,866.04x = 5,381,221,773.98
  5. Step 5: Solve for x
    x = 5,381,221,773.98/82,866.04
  6. Step 6: Final answer
    x = 64,938.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.