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Finding the Fourth Proportional to 35,830.91, 49,333.72 and 32,509.41

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Solution

The fourth proportional to 35,830.91, 49,333.72 and 32,509.41 is: 44,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.91 : 49,333.72 = 32,509.41 : x
  2. Step 2: Convert to fraction form
    35,830.91/49,333.72 = 32,509.41/x
  3. Step 3: Cross multiply
    35,830.91x = 49,333.72 × 32,509.41
  4. Step 4: Simplify right side
    35,830.91x = 1,603,810,130.31
  5. Step 5: Solve for x
    x = 1,603,810,130.31/35,830.91
  6. Step 6: Final answer
    x = 44,760.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.