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Finding the Fourth Proportional to 35,886.16, 49,525.59 and 20,782.90

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Solution

The fourth proportional to 35,886.16, 49,525.59 and 20,782.90 is: 28,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,886.16 : 49,525.59 = 20,782.90 : x
  2. Step 2: Convert to fraction form
    35,886.16/49,525.59 = 20,782.90/x
  3. Step 3: Cross multiply
    35,886.16x = 49,525.59 × 20,782.90
  4. Step 4: Simplify right side
    35,886.16x = 1,029,285,384.41
  5. Step 5: Solve for x
    x = 1,029,285,384.41/35,886.16
  6. Step 6: Final answer
    x = 28,681.96

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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.