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Finding the Fourth Proportional to 31,090.48, 42,900 and 17,475.82

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Solution

The fourth proportional to 31,090.48, 42,900 and 17,475.82 is: 24,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090.48 : 42,900 = 17,475.82 : x
  2. Step 2: Convert to fraction form
    31,090.48/42,900 = 17,475.82/x
  3. Step 3: Cross multiply
    31,090.48x = 42,900 × 17,475.82
  4. Step 4: Simplify right side
    31,090.48x = 749,712,678
  5. Step 5: Solve for x
    x = 749,712,678/31,090.48
  6. Step 6: Final answer
    x = 24,113.90

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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.