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Finding the Fourth Proportional to 42,942, 59,239.80 and 30,373.68

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Solution

The fourth proportional to 42,942, 59,239.80 and 30,373.68 is: 41,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,942 : 59,239.80 = 30,373.68 : x
  2. Step 2: Convert to fraction form
    42,942/59,239.80 = 30,373.68/x
  3. Step 3: Cross multiply
    42,942x = 59,239.80 × 30,373.68
  4. Step 4: Simplify right side
    42,942x = 1,799,330,728.46
  5. Step 5: Solve for x
    x = 1,799,330,728.46/42,942
  6. Step 6: Final answer
    x = 41,901.42

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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.