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Finding the Fourth Proportional to 31,225.12, 46,813.07 and 11,492.91

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Solution

The fourth proportional to 31,225.12, 46,813.07 and 11,492.91 is: 17,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,225.12 : 46,813.07 = 11,492.91 : x
  2. Step 2: Convert to fraction form
    31,225.12/46,813.07 = 11,492.91/x
  3. Step 3: Cross multiply
    31,225.12x = 46,813.07 × 11,492.91
  4. Step 4: Simplify right side
    31,225.12x = 538,018,429.07
  5. Step 5: Solve for x
    x = 538,018,429.07/31,225.12
  6. Step 6: Final answer
    x = 17,230.31

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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.