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Finding the Fourth Proportional to 32,005.72, 48,011.10 and 10,955.80

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Solution

The fourth proportional to 32,005.72, 48,011.10 and 10,955.80 is: 16,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.72 : 48,011.10 = 10,955.80 : x
  2. Step 2: Convert to fraction form
    32,005.72/48,011.10 = 10,955.80/x
  3. Step 3: Cross multiply
    32,005.72x = 48,011.10 × 10,955.80
  4. Step 4: Simplify right side
    32,005.72x = 526,000,009.38
  5. Step 5: Solve for x
    x = 526,000,009.38/32,005.72
  6. Step 6: Final answer
    x = 16,434.56

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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.