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Finding the Fourth Proportional to 35,348.66, 53,025.70 and 11,646.98

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Solution

The fourth proportional to 35,348.66, 53,025.70 and 11,646.98 is: 17,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,348.66 : 53,025.70 = 11,646.98 : x
  2. Step 2: Convert to fraction form
    35,348.66/53,025.70 = 11,646.98/x
  3. Step 3: Cross multiply
    35,348.66x = 53,025.70 × 11,646.98
  4. Step 4: Simplify right side
    35,348.66x = 617,589,267.39
  5. Step 5: Solve for x
    x = 617,589,267.39/35,348.66
  6. Step 6: Final answer
    x = 17,471.36

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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.