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Finding the Fourth Proportional to 35,006.29, 52,498.65 and 10,039.63

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Solution

The fourth proportional to 35,006.29, 52,498.65 and 10,039.63 is: 15,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,006.29 : 52,498.65 = 10,039.63 : x
  2. Step 2: Convert to fraction form
    35,006.29/52,498.65 = 10,039.63/x
  3. Step 3: Cross multiply
    35,006.29x = 52,498.65 × 10,039.63
  4. Step 4: Simplify right side
    35,006.29x = 527,067,021.50
  5. Step 5: Solve for x
    x = 527,067,021.50/35,006.29
  6. Step 6: Final answer
    x = 15,056.35

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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.