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Finding the Fourth Proportional to 31,160, 42,999.20 and 17,010.16

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Solution

The fourth proportional to 31,160, 42,999.20 and 17,010.16 is: 23,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160 : 42,999.20 = 17,010.16 : x
  2. Step 2: Convert to fraction form
    31,160/42,999.20 = 17,010.16/x
  3. Step 3: Cross multiply
    31,160x = 42,999.20 × 17,010.16
  4. Step 4: Simplify right side
    31,160x = 731,423,271.87
  5. Step 5: Solve for x
    x = 731,423,271.87/31,160
  6. Step 6: Final answer
    x = 23,473.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.