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Finding the Fourth Proportional to 35,507.98, 53,252.75 and 10,542.16

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Solution

The fourth proportional to 35,507.98, 53,252.75 and 10,542.16 is: 15,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,507.98 : 53,252.75 = 10,542.16 : x
  2. Step 2: Convert to fraction form
    35,507.98/53,252.75 = 10,542.16/x
  3. Step 3: Cross multiply
    35,507.98x = 53,252.75 × 10,542.16
  4. Step 4: Simplify right side
    35,507.98x = 561,399,010.94
  5. Step 5: Solve for x
    x = 561,399,010.94/35,507.98
  6. Step 6: Final answer
    x = 15,810.50

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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.