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Finding the Fourth Proportional to 35,734.80, 49,312.32 and 20,630.16

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Solution

The fourth proportional to 35,734.80, 49,312.32 and 20,630.16 is: 28,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,734.80 : 49,312.32 = 20,630.16 : x
  2. Step 2: Convert to fraction form
    35,734.80/49,312.32 = 20,630.16/x
  3. Step 3: Cross multiply
    35,734.80x = 49,312.32 × 20,630.16
  4. Step 4: Simplify right side
    35,734.80x = 1,017,321,051.57
  5. Step 5: Solve for x
    x = 1,017,321,051.57/35,734.80
  6. Step 6: Final answer
    x = 28,468.64

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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.