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Finding the Fourth Proportional to 31,884.32, 47,829.18 and 9,697.88

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Solution

The fourth proportional to 31,884.32, 47,829.18 and 9,697.88 is: 14,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.32 : 47,829.18 = 9,697.88 : x
  2. Step 2: Convert to fraction form
    31,884.32/47,829.18 = 9,697.88/x
  3. Step 3: Cross multiply
    31,884.32x = 47,829.18 × 9,697.88
  4. Step 4: Simplify right side
    31,884.32x = 463,841,408.99
  5. Step 5: Solve for x
    x = 463,841,408.99/31,884.32
  6. Step 6: Final answer
    x = 14,547.64

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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.