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Finding the Fourth Proportional to 32,103.16, 48,157.06 and 9,913.67

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Solution

The fourth proportional to 32,103.16, 48,157.06 and 9,913.67 is: 14,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.16 : 48,157.06 = 9,913.67 : x
  2. Step 2: Convert to fraction form
    32,103.16/48,157.06 = 9,913.67/x
  3. Step 3: Cross multiply
    32,103.16x = 48,157.06 × 9,913.67
  4. Step 4: Simplify right side
    32,103.16x = 477,412,971.29
  5. Step 5: Solve for x
    x = 477,412,971.29/32,103.16
  6. Step 6: Final answer
    x = 14,871.21

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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.