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Finding the Fourth Proportional to 31,070.63, 46,599.42 and 10,012.57

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Solution

The fourth proportional to 31,070.63, 46,599.42 and 10,012.57 is: 15,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.63 : 46,599.42 = 10,012.57 : x
  2. Step 2: Convert to fraction form
    31,070.63/46,599.42 = 10,012.57/x
  3. Step 3: Cross multiply
    31,070.63x = 46,599.42 × 10,012.57
  4. Step 4: Simplify right side
    31,070.63x = 466,579,954.71
  5. Step 5: Solve for x
    x = 466,579,954.71/31,070.63
  6. Step 6: Final answer
    x = 15,016.75

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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.