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Finding the Fourth Proportional to 31,215, 46,827.16 and 11,492.04

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Solution

The fourth proportional to 31,215, 46,827.16 and 11,492.04 is: 17,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,215 : 46,827.16 = 11,492.04 : x
  2. Step 2: Convert to fraction form
    31,215/46,827.16 = 11,492.04/x
  3. Step 3: Cross multiply
    31,215x = 46,827.16 × 11,492.04
  4. Step 4: Simplify right side
    31,215x = 538,139,595.81
  5. Step 5: Solve for x
    x = 538,139,595.81/31,215
  6. Step 6: Final answer
    x = 17,239.78

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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.