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Finding the Fourth Proportional to 32,927.40, 49,391.10 and 9,234.90

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Solution

The fourth proportional to 32,927.40, 49,391.10 and 9,234.90 is: 13,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,927.40 : 49,391.10 = 9,234.90 : x
  2. Step 2: Convert to fraction form
    32,927.40/49,391.10 = 9,234.90/x
  3. Step 3: Cross multiply
    32,927.40x = 49,391.10 × 9,234.90
  4. Step 4: Simplify right side
    32,927.40x = 456,121,869.39
  5. Step 5: Solve for x
    x = 456,121,869.39/32,927.40
  6. Step 6: Final answer
    x = 13,852.35

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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.