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Finding the Fourth Proportional to 34,598.29, 51,887.87 and 13,534.08

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Solution

The fourth proportional to 34,598.29, 51,887.87 and 13,534.08 is: 20,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,598.29 : 51,887.87 = 13,534.08 : x
  2. Step 2: Convert to fraction form
    34,598.29/51,887.87 = 13,534.08/x
  3. Step 3: Cross multiply
    34,598.29x = 51,887.87 × 13,534.08
  4. Step 4: Simplify right side
    34,598.29x = 702,254,583.61
  5. Step 5: Solve for x
    x = 702,254,583.61/34,598.29
  6. Step 6: Final answer
    x = 20,297.38

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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.