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Finding the Fourth Proportional to 38,320.70, 57,477.63 and 13,356.50

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Solution

The fourth proportional to 38,320.70, 57,477.63 and 13,356.50 is: 20,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,320.70 : 57,477.63 = 13,356.50 : x
  2. Step 2: Convert to fraction form
    38,320.70/57,477.63 = 13,356.50/x
  3. Step 3: Cross multiply
    38,320.70x = 57,477.63 × 13,356.50
  4. Step 4: Simplify right side
    38,320.70x = 767,699,965.10
  5. Step 5: Solve for x
    x = 767,699,965.10/38,320.70
  6. Step 6: Final answer
    x = 20,033.56

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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.