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Finding the Fourth Proportional to 51,457, 77,185.50 and 12,545

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Solution

The fourth proportional to 51,457, 77,185.50 and 12,545 is: 18,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,457 : 77,185.50 = 12,545 : x
  2. Step 2: Convert to fraction form
    51,457/77,185.50 = 12,545/x
  3. Step 3: Cross multiply
    51,457x = 77,185.50 × 12,545
  4. Step 4: Simplify right side
    51,457x = 968,292,097.50
  5. Step 5: Solve for x
    x = 968,292,097.50/51,457
  6. Step 6: Final answer
    x = 18,817.50

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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.