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Finding the Fourth Proportional to 31,432.47, 43,376.42 and 23,402

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Solution

The fourth proportional to 31,432.47, 43,376.42 and 23,402 is: 32,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432.47 : 43,376.42 = 23,402 : x
  2. Step 2: Convert to fraction form
    31,432.47/43,376.42 = 23,402/x
  3. Step 3: Cross multiply
    31,432.47x = 43,376.42 × 23,402
  4. Step 4: Simplify right side
    31,432.47x = 1,015,094,980.84
  5. Step 5: Solve for x
    x = 1,015,094,980.84/31,432.47
  6. Step 6: Final answer
    x = 32,294.47

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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.