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Finding the Fourth Proportional to 37,358.80, 56,038.20 and 13,982.20

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Solution

The fourth proportional to 37,358.80, 56,038.20 and 13,982.20 is: 20,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,358.80 : 56,038.20 = 13,982.20 : x
  2. Step 2: Convert to fraction form
    37,358.80/56,038.20 = 13,982.20/x
  3. Step 3: Cross multiply
    37,358.80x = 56,038.20 × 13,982.20
  4. Step 4: Simplify right side
    37,358.80x = 783,537,320.04
  5. Step 5: Solve for x
    x = 783,537,320.04/37,358.80
  6. Step 6: Final answer
    x = 20,973.30

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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.