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Finding the Fourth Proportional to 85,056.30, 127,584.45 and 38,400.30

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Solution

The fourth proportional to 85,056.30, 127,584.45 and 38,400.30 is: 57,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,056.30 : 127,584.45 = 38,400.30 : x
  2. Step 2: Convert to fraction form
    85,056.30/127,584.45 = 38,400.30/x
  3. Step 3: Cross multiply
    85,056.30x = 127,584.45 × 38,400.30
  4. Step 4: Simplify right side
    85,056.30x = 4,899,281,155.34
  5. Step 5: Solve for x
    x = 4,899,281,155.34/85,056.30
  6. Step 6: Final answer
    x = 57,600.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.