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Finding the Fourth Proportional to 32,751.50, 45,093.45 and 29,758.38

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Solution

The fourth proportional to 32,751.50, 45,093.45 and 29,758.38 is: 40,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751.50 : 45,093.45 = 29,758.38 : x
  2. Step 2: Convert to fraction form
    32,751.50/45,093.45 = 29,758.38/x
  3. Step 3: Cross multiply
    32,751.50x = 45,093.45 × 29,758.38
  4. Step 4: Simplify right side
    32,751.50x = 1,341,908,020.61
  5. Step 5: Solve for x
    x = 1,341,908,020.61/32,751.50
  6. Step 6: Final answer
    x = 40,972.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.