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Finding the Fourth Proportional to 38,155.80, 57,233.70 and 10,075.80

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Solution

The fourth proportional to 38,155.80, 57,233.70 and 10,075.80 is: 15,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,155.80 : 57,233.70 = 10,075.80 : x
  2. Step 2: Convert to fraction form
    38,155.80/57,233.70 = 10,075.80/x
  3. Step 3: Cross multiply
    38,155.80x = 57,233.70 × 10,075.80
  4. Step 4: Simplify right side
    38,155.80x = 576,675,314.46
  5. Step 5: Solve for x
    x = 576,675,314.46/38,155.80
  6. Step 6: Final answer
    x = 15,113.70

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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.