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Finding the Fourth Proportional to 31,607.70, 43,617.80 and 17,460.24

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Solution

The fourth proportional to 31,607.70, 43,617.80 and 17,460.24 is: 24,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.70 : 43,617.80 = 17,460.24 : x
  2. Step 2: Convert to fraction form
    31,607.70/43,617.80 = 17,460.24/x
  3. Step 3: Cross multiply
    31,607.70x = 43,617.80 × 17,460.24
  4. Step 4: Simplify right side
    31,607.70x = 761,577,256.27
  5. Step 5: Solve for x
    x = 761,577,256.27/31,607.70
  6. Step 6: Final answer
    x = 24,094.67

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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.