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Finding the Fourth Proportional to 75,737.84, 104,518.50 and 42,203.84

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Solution

The fourth proportional to 75,737.84, 104,518.50 and 42,203.84 is: 58,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,737.84 : 104,518.50 = 42,203.84 : x
  2. Step 2: Convert to fraction form
    75,737.84/104,518.50 = 42,203.84/x
  3. Step 3: Cross multiply
    75,737.84x = 104,518.50 × 42,203.84
  4. Step 4: Simplify right side
    75,737.84x = 4,411,082,051.04
  5. Step 5: Solve for x
    x = 4,411,082,051.04/75,737.84
  6. Step 6: Final answer
    x = 58,241.46

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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.