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Finding the Fourth Proportional to 31,154.56, 46,730.16 and 10,094.20

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Solution

The fourth proportional to 31,154.56, 46,730.16 and 10,094.20 is: 15,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.56 : 46,730.16 = 10,094.20 : x
  2. Step 2: Convert to fraction form
    31,154.56/46,730.16 = 10,094.20/x
  3. Step 3: Cross multiply
    31,154.56x = 46,730.16 × 10,094.20
  4. Step 4: Simplify right side
    31,154.56x = 471,703,581.07
  5. Step 5: Solve for x
    x = 471,703,581.07/31,154.56
  6. Step 6: Final answer
    x = 15,140.76

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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.