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Finding the Fourth Proportional to 42,820.68, 59,104.41 and 24,919.14

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Solution

The fourth proportional to 42,820.68, 59,104.41 and 24,919.14 is: 34,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,820.68 : 59,104.41 = 24,919.14 : x
  2. Step 2: Convert to fraction form
    42,820.68/59,104.41 = 24,919.14/x
  3. Step 3: Cross multiply
    42,820.68x = 59,104.41 × 24,919.14
  4. Step 4: Simplify right side
    42,820.68x = 1,472,830,942.81
  5. Step 5: Solve for x
    x = 1,472,830,942.81/42,820.68
  6. Step 6: Final answer
    x = 34,395.32

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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.