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Finding the Fourth Proportional to 31,013.64, 46,492.74 and 11,278.29

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Solution

The fourth proportional to 31,013.64, 46,492.74 and 11,278.29 is: 16,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,013.64 : 46,492.74 = 11,278.29 : x
  2. Step 2: Convert to fraction form
    31,013.64/46,492.74 = 11,278.29/x
  3. Step 3: Cross multiply
    31,013.64x = 46,492.74 × 11,278.29
  4. Step 4: Simplify right side
    31,013.64x = 524,358,604.61
  5. Step 5: Solve for x
    x = 524,358,604.61/31,013.64
  6. Step 6: Final answer
    x = 16,907.35

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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.