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Finding the Fourth Proportional to 31,657.36, 47,513.04 and 17,631.40

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Solution

The fourth proportional to 31,657.36, 47,513.04 and 17,631.40 is: 26,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.36 : 47,513.04 = 17,631.40 : x
  2. Step 2: Convert to fraction form
    31,657.36/47,513.04 = 17,631.40/x
  3. Step 3: Cross multiply
    31,657.36x = 47,513.04 × 17,631.40
  4. Step 4: Simplify right side
    31,657.36x = 837,721,413.46
  5. Step 5: Solve for x
    x = 837,721,413.46/31,657.36
  6. Step 6: Final answer
    x = 26,462.14

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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.