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Finding the Fourth Proportional to 42,646.83, 58,855.52 and 24,741.83

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Solution

The fourth proportional to 42,646.83, 58,855.52 and 24,741.83 is: 34,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,646.83 : 58,855.52 = 24,741.83 : x
  2. Step 2: Convert to fraction form
    42,646.83/58,855.52 = 24,741.83/x
  3. Step 3: Cross multiply
    42,646.83x = 58,855.52 × 24,741.83
  4. Step 4: Simplify right side
    42,646.83x = 1,456,193,270.40
  5. Step 5: Solve for x
    x = 1,456,193,270.40/42,646.83
  6. Step 6: Final answer
    x = 34,145.40

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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.