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Finding the Fourth Proportional to 35,056.64, 52,585.10 and 8,761.42

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Solution

The fourth proportional to 35,056.64, 52,585.10 and 8,761.42 is: 13,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,056.64 : 52,585.10 = 8,761.42 : x
  2. Step 2: Convert to fraction form
    35,056.64/52,585.10 = 8,761.42/x
  3. Step 3: Cross multiply
    35,056.64x = 52,585.10 × 8,761.42
  4. Step 4: Simplify right side
    35,056.64x = 460,720,146.84
  5. Step 5: Solve for x
    x = 460,720,146.84/35,056.64
  6. Step 6: Final answer
    x = 13,142.16

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Why These Related Problems?

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