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Finding the Fourth Proportional to 35,201.85, 52,798.35 and 11,507.40

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Solution

The fourth proportional to 35,201.85, 52,798.35 and 11,507.40 is: 17,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,201.85 : 52,798.35 = 11,507.40 : x
  2. Step 2: Convert to fraction form
    35,201.85/52,798.35 = 11,507.40/x
  3. Step 3: Cross multiply
    35,201.85x = 52,798.35 × 11,507.40
  4. Step 4: Simplify right side
    35,201.85x = 607,571,732.79
  5. Step 5: Solve for x
    x = 607,571,732.79/35,201.85
  6. Step 6: Final answer
    x = 17,259.65

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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.