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Finding the Fourth Proportional to 35,338.31, 53,007.42 and 9,043.06

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Solution

The fourth proportional to 35,338.31, 53,007.42 and 9,043.06 is: 13,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,338.31 : 53,007.42 = 9,043.06 : x
  2. Step 2: Convert to fraction form
    35,338.31/53,007.42 = 9,043.06/x
  3. Step 3: Cross multiply
    35,338.31x = 53,007.42 × 9,043.06
  4. Step 4: Simplify right side
    35,338.31x = 479,349,279.51
  5. Step 5: Solve for x
    x = 479,349,279.51/35,338.31
  6. Step 6: Final answer
    x = 13,564.58

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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.