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Finding the Fourth Proportional to 35,505.70, 53,261.51 and 10,205.30

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Solution

The fourth proportional to 35,505.70, 53,261.51 and 10,205.30 is: 15,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,505.70 : 53,261.51 = 10,205.30 : x
  2. Step 2: Convert to fraction form
    35,505.70/53,261.51 = 10,205.30/x
  3. Step 3: Cross multiply
    35,505.70x = 53,261.51 × 10,205.30
  4. Step 4: Simplify right side
    35,505.70x = 543,549,688.00
  5. Step 5: Solve for x
    x = 543,549,688.00/35,505.70
  6. Step 6: Final answer
    x = 15,308.80

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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.