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Finding the Fourth Proportional to 42,407.96, 58,538.70 and 36,415.58

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Solution

The fourth proportional to 42,407.96, 58,538.70 and 36,415.58 is: 50,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407.96 : 58,538.70 = 36,415.58 : x
  2. Step 2: Convert to fraction form
    42,407.96/58,538.70 = 36,415.58/x
  3. Step 3: Cross multiply
    42,407.96x = 58,538.70 × 36,415.58
  4. Step 4: Simplify right side
    42,407.96x = 2,131,720,420.25
  5. Step 5: Solve for x
    x = 2,131,720,420.25/42,407.96
  6. Step 6: Final answer
    x = 50,266.99

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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.