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Finding the Fourth Proportional to 42,096.86, 58,094.22 and 24,869.80

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Solution

The fourth proportional to 42,096.86, 58,094.22 and 24,869.80 is: 34,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,096.86 : 58,094.22 = 24,869.80 : x
  2. Step 2: Convert to fraction form
    42,096.86/58,094.22 = 24,869.80/x
  3. Step 3: Cross multiply
    42,096.86x = 58,094.22 × 24,869.80
  4. Step 4: Simplify right side
    42,096.86x = 1,444,791,632.56
  5. Step 5: Solve for x
    x = 1,444,791,632.56/42,096.86
  6. Step 6: Final answer
    x = 34,320.65

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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.