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Finding the Fourth Proportional to 42,548.88, 58,717.38 and 24,644.76

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Solution

The fourth proportional to 42,548.88, 58,717.38 and 24,644.76 is: 34,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,548.88 : 58,717.38 = 24,644.76 : x
  2. Step 2: Convert to fraction form
    42,548.88/58,717.38 = 24,644.76/x
  3. Step 3: Cross multiply
    42,548.88x = 58,717.38 × 24,644.76
  4. Step 4: Simplify right side
    42,548.88x = 1,447,075,737.93
  5. Step 5: Solve for x
    x = 1,447,075,737.93/42,548.88
  6. Step 6: Final answer
    x = 34,009.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.