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Finding the Fourth Proportional to 38,547.40, 57,821.28 and 16,355.20

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Solution

The fourth proportional to 38,547.40, 57,821.28 and 16,355.20 is: 24,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,547.40 : 57,821.28 = 16,355.20 : x
  2. Step 2: Convert to fraction form
    38,547.40/57,821.28 = 16,355.20/x
  3. Step 3: Cross multiply
    38,547.40x = 57,821.28 × 16,355.20
  4. Step 4: Simplify right side
    38,547.40x = 945,678,598.66
  5. Step 5: Solve for x
    x = 945,678,598.66/38,547.40
  6. Step 6: Final answer
    x = 24,532.88

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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.