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Finding the Fourth Proportional to 38,543.70, 57,807.45 and 16,357.80

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Solution

The fourth proportional to 38,543.70, 57,807.45 and 16,357.80 is: 24,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543.70 : 57,807.45 = 16,357.80 : x
  2. Step 2: Convert to fraction form
    38,543.70/57,807.45 = 16,357.80/x
  3. Step 3: Cross multiply
    38,543.70x = 57,807.45 × 16,357.80
  4. Step 4: Simplify right side
    38,543.70x = 945,602,705.61
  5. Step 5: Solve for x
    x = 945,602,705.61/38,543.70
  6. Step 6: Final answer
    x = 24,533.26

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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.