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Finding the Fourth Proportional to 38,117.70, 57,176.55 and 10,415.70

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Solution

The fourth proportional to 38,117.70, 57,176.55 and 10,415.70 is: 15,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,117.70 : 57,176.55 = 10,415.70 : x
  2. Step 2: Convert to fraction form
    38,117.70/57,176.55 = 10,415.70/x
  3. Step 3: Cross multiply
    38,117.70x = 57,176.55 × 10,415.70
  4. Step 4: Simplify right side
    38,117.70x = 595,533,791.84
  5. Step 5: Solve for x
    x = 595,533,791.84/38,117.70
  6. Step 6: Final answer
    x = 15,623.55

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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.