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Finding the Fourth Proportional to 35,730.56, 53,578.80 and 16,009.28

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Solution

The fourth proportional to 35,730.56, 53,578.80 and 16,009.28 is: 24,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730.56 : 53,578.80 = 16,009.28 : x
  2. Step 2: Convert to fraction form
    35,730.56/53,578.80 = 16,009.28/x
  3. Step 3: Cross multiply
    35,730.56x = 53,578.80 × 16,009.28
  4. Step 4: Simplify right side
    35,730.56x = 857,758,011.26
  5. Step 5: Solve for x
    x = 857,758,011.26/35,730.56
  6. Step 6: Final answer
    x = 24,006.29

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