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Finding the Fourth Proportional to 35,800.49, 53,696.58 and 9,507.29

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Solution

The fourth proportional to 35,800.49, 53,696.58 and 9,507.29 is: 14,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,800.49 : 53,696.58 = 9,507.29 : x
  2. Step 2: Convert to fraction form
    35,800.49/53,696.58 = 9,507.29/x
  3. Step 3: Cross multiply
    35,800.49x = 53,696.58 × 9,507.29
  4. Step 4: Simplify right side
    35,800.49x = 510,508,958.07
  5. Step 5: Solve for x
    x = 510,508,958.07/35,800.49
  6. Step 6: Final answer
    x = 14,259.83

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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.