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Finding the Fourth Proportional to 30,176.57, 45,273.02 and 9,117.29

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Solution

The fourth proportional to 30,176.57, 45,273.02 and 9,117.29 is: 13,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.57 : 45,273.02 = 9,117.29 : x
  2. Step 2: Convert to fraction form
    30,176.57/45,273.02 = 9,117.29/x
  3. Step 3: Cross multiply
    30,176.57x = 45,273.02 × 9,117.29
  4. Step 4: Simplify right side
    30,176.57x = 412,767,320.11
  5. Step 5: Solve for x
    x = 412,767,320.11/30,176.57
  6. Step 6: Final answer
    x = 13,678.41

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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.