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Finding the Fourth Proportional to 38,412.50, 57,628.47 and 10,710.50

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Solution

The fourth proportional to 38,412.50, 57,628.47 and 10,710.50 is: 16,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412.50 : 57,628.47 = 10,710.50 : x
  2. Step 2: Convert to fraction form
    38,412.50/57,628.47 = 10,710.50/x
  3. Step 3: Cross multiply
    38,412.50x = 57,628.47 × 10,710.50
  4. Step 4: Simplify right side
    38,412.50x = 617,229,727.94
  5. Step 5: Solve for x
    x = 617,229,727.94/38,412.50
  6. Step 6: Final answer
    x = 16,068.46

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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.