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Finding the Fourth Proportional to 35,381.19, 53,053.50 and 10,418.01

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Solution

The fourth proportional to 35,381.19, 53,053.50 and 10,418.01 is: 15,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,381.19 : 53,053.50 = 10,418.01 : x
  2. Step 2: Convert to fraction form
    35,381.19/53,053.50 = 10,418.01/x
  3. Step 3: Cross multiply
    35,381.19x = 53,053.50 × 10,418.01
  4. Step 4: Simplify right side
    35,381.19x = 552,711,893.54
  5. Step 5: Solve for x
    x = 552,711,893.54/35,381.19
  6. Step 6: Final answer
    x = 15,621.63

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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.