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Finding the Fourth Proportional to 31,253.12, 46,894.08 and 15,681.92

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Solution

The fourth proportional to 31,253.12, 46,894.08 and 15,681.92 is: 23,530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,253.12 : 46,894.08 = 15,681.92 : x
  2. Step 2: Convert to fraction form
    31,253.12/46,894.08 = 15,681.92/x
  3. Step 3: Cross multiply
    31,253.12x = 46,894.08 × 15,681.92
  4. Step 4: Simplify right side
    31,253.12x = 735,389,211.03
  5. Step 5: Solve for x
    x = 735,389,211.03/31,253.12
  6. Step 6: Final answer
    x = 23,530.11

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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.