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Finding the Fourth Proportional to 35,852.52, 53,786.04 and 15,076

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Solution

The fourth proportional to 35,852.52, 53,786.04 and 15,076 is: 22,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852.52 : 53,786.04 = 15,076 : x
  2. Step 2: Convert to fraction form
    35,852.52/53,786.04 = 15,076/x
  3. Step 3: Cross multiply
    35,852.52x = 53,786.04 × 15,076
  4. Step 4: Simplify right side
    35,852.52x = 810,878,339.04
  5. Step 5: Solve for x
    x = 810,878,339.04/35,852.52
  6. Step 6: Final answer
    x = 22,617.05

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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.