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Finding the Fourth Proportional to 50,140.82, 75,222.88 and 14,602.98

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Solution

The fourth proportional to 50,140.82, 75,222.88 and 14,602.98 is: 21,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,140.82 : 75,222.88 = 14,602.98 : x
  2. Step 2: Convert to fraction form
    50,140.82/75,222.88 = 14,602.98/x
  3. Step 3: Cross multiply
    50,140.82x = 75,222.88 × 14,602.98
  4. Step 4: Simplify right side
    50,140.82x = 1,098,478,457.76
  5. Step 5: Solve for x
    x = 1,098,478,457.76/50,140.82
  6. Step 6: Final answer
    x = 21,907.87

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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.