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Finding the Fourth Proportional to 31,237.84, 46,856.58 and 10,461.16

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Solution

The fourth proportional to 31,237.84, 46,856.58 and 10,461.16 is: 15,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,237.84 : 46,856.58 = 10,461.16 : x
  2. Step 2: Convert to fraction form
    31,237.84/46,856.58 = 10,461.16/x
  3. Step 3: Cross multiply
    31,237.84x = 46,856.58 × 10,461.16
  4. Step 4: Simplify right side
    31,237.84x = 490,174,180.43
  5. Step 5: Solve for x
    x = 490,174,180.43/31,237.84
  6. Step 6: Final answer
    x = 15,691.68

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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.