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Finding the Fourth Proportional to 32,031.72, 48,054.60 and 9,846.72

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Solution

The fourth proportional to 32,031.72, 48,054.60 and 9,846.72 is: 14,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031.72 : 48,054.60 = 9,846.72 : x
  2. Step 2: Convert to fraction form
    32,031.72/48,054.60 = 9,846.72/x
  3. Step 3: Cross multiply
    32,031.72x = 48,054.60 × 9,846.72
  4. Step 4: Simplify right side
    32,031.72x = 473,180,190.91
  5. Step 5: Solve for x
    x = 473,180,190.91/32,031.72
  6. Step 6: Final answer
    x = 14,772.24

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1.5x scale

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.