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Finding the Fourth Proportional to 35,461.01, 53,197.81 and 11,769.98

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Solution

The fourth proportional to 35,461.01, 53,197.81 and 11,769.98 is: 17,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,461.01 : 53,197.81 = 11,769.98 : x
  2. Step 2: Convert to fraction form
    35,461.01/53,197.81 = 11,769.98/x
  3. Step 3: Cross multiply
    35,461.01x = 53,197.81 × 11,769.98
  4. Step 4: Simplify right side
    35,461.01x = 626,136,864.33
  5. Step 5: Solve for x
    x = 626,136,864.33/35,461.01
  6. Step 6: Final answer
    x = 17,657.05

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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.