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Finding the Fourth Proportional to 34,655.16, 52,004.70 and 19,893

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Solution

The fourth proportional to 34,655.16, 52,004.70 and 19,893 is: 29,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,655.16 : 52,004.70 = 19,893 : x
  2. Step 2: Convert to fraction form
    34,655.16/52,004.70 = 19,893/x
  3. Step 3: Cross multiply
    34,655.16x = 52,004.70 × 19,893
  4. Step 4: Simplify right side
    34,655.16x = 1,034,529,497.10
  5. Step 5: Solve for x
    x = 1,034,529,497.10/34,655.16
  6. Step 6: Final answer
    x = 29,852.11

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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.