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Finding the Fourth Proportional to 31,886.32, 47,832.18 and 9,699.88

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Solution

The fourth proportional to 31,886.32, 47,832.18 and 9,699.88 is: 14,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.32 : 47,832.18 = 9,699.88 : x
  2. Step 2: Convert to fraction form
    31,886.32/47,832.18 = 9,699.88/x
  3. Step 3: Cross multiply
    31,886.32x = 47,832.18 × 9,699.88
  4. Step 4: Simplify right side
    31,886.32x = 463,966,406.14
  5. Step 5: Solve for x
    x = 463,966,406.14/31,886.32
  6. Step 6: Final answer
    x = 14,550.64

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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.