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Finding the Fourth Proportional to 35,339.30, 53,015.52 and 11,648.51

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Solution

The fourth proportional to 35,339.30, 53,015.52 and 11,648.51 is: 17,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,339.30 : 53,015.52 = 11,648.51 : x
  2. Step 2: Convert to fraction form
    35,339.30/53,015.52 = 11,648.51/x
  3. Step 3: Cross multiply
    35,339.30x = 53,015.52 × 11,648.51
  4. Step 4: Simplify right side
    35,339.30x = 617,551,908.63
  5. Step 5: Solve for x
    x = 617,551,908.63/35,339.30
  6. Step 6: Final answer
    x = 17,474.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.