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Finding the Fourth Proportional to 35,915.32, 53,871.92 and 9,620.06

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Solution

The fourth proportional to 35,915.32, 53,871.92 and 9,620.06 is: 14,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,915.32 : 53,871.92 = 9,620.06 : x
  2. Step 2: Convert to fraction form
    35,915.32/53,871.92 = 9,620.06/x
  3. Step 3: Cross multiply
    35,915.32x = 53,871.92 × 9,620.06
  4. Step 4: Simplify right side
    35,915.32x = 518,251,102.72
  5. Step 5: Solve for x
    x = 518,251,102.72/35,915.32
  6. Step 6: Final answer
    x = 14,429.81

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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.