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Finding the Fourth Proportional to 42,942, 59,265.20 and 27,026.16

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Solution

The fourth proportional to 42,942, 59,265.20 and 27,026.16 is: 37,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,942 : 59,265.20 = 27,026.16 : x
  2. Step 2: Convert to fraction form
    42,942/59,265.20 = 27,026.16/x
  3. Step 3: Cross multiply
    42,942x = 59,265.20 × 27,026.16
  4. Step 4: Simplify right side
    42,942x = 1,601,710,777.63
  5. Step 5: Solve for x
    x = 1,601,710,777.63/42,942
  6. Step 6: Final answer
    x = 37,299.40

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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.