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Finding the Fourth Proportional to 31,590, 43,592.14 and 17,442.72

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Solution

The fourth proportional to 31,590, 43,592.14 and 17,442.72 is: 24,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590 : 43,592.14 = 17,442.72 : x
  2. Step 2: Convert to fraction form
    31,590/43,592.14 = 17,442.72/x
  3. Step 3: Cross multiply
    31,590x = 43,592.14 × 17,442.72
  4. Step 4: Simplify right side
    31,590x = 760,365,492.22
  5. Step 5: Solve for x
    x = 760,365,492.22/31,590
  6. Step 6: Final answer
    x = 24,069.82

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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.