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Finding the Fourth Proportional to 42,817.96, 64,239 and 37,503.46

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Solution

The fourth proportional to 42,817.96, 64,239 and 37,503.46 is: 56,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,817.96 : 64,239 = 37,503.46 : x
  2. Step 2: Convert to fraction form
    42,817.96/64,239 = 37,503.46/x
  3. Step 3: Cross multiply
    42,817.96x = 64,239 × 37,503.46
  4. Step 4: Simplify right side
    42,817.96x = 2,409,184,766.94
  5. Step 5: Solve for x
    x = 2,409,184,766.94/42,817.96
  6. Step 6: Final answer
    x = 56,265.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.