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Finding the Fourth Proportional to 31,792.40, 47,647.80 and 17,752.40

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Solution

The fourth proportional to 31,792.40, 47,647.80 and 17,752.40 is: 26,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.40 : 47,647.80 = 17,752.40 : x
  2. Step 2: Convert to fraction form
    31,792.40/47,647.80 = 17,752.40/x
  3. Step 3: Cross multiply
    31,792.40x = 47,647.80 × 17,752.40
  4. Step 4: Simplify right side
    31,792.40x = 845,862,804.72
  5. Step 5: Solve for x
    x = 845,862,804.72/31,792.40
  6. Step 6: Final answer
    x = 26,605.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.