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Finding the Fourth Proportional to 39,140, 54,013.20 and 22,373.36

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Solution

The fourth proportional to 39,140, 54,013.20 and 22,373.36 is: 30,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,140 : 54,013.20 = 22,373.36 : x
  2. Step 2: Convert to fraction form
    39,140/54,013.20 = 22,373.36/x
  3. Step 3: Cross multiply
    39,140x = 54,013.20 × 22,373.36
  4. Step 4: Simplify right side
    39,140x = 1,208,456,768.35
  5. Step 5: Solve for x
    x = 1,208,456,768.35/39,140
  6. Step 6: Final answer
    x = 30,875.24

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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.