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Finding the Fourth Proportional to 29,729.78, 44,594.76 and 7,543.16

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Solution

The fourth proportional to 29,729.78, 44,594.76 and 7,543.16 is: 11,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,729.78 : 44,594.76 = 7,543.16 : x
  2. Step 2: Convert to fraction form
    29,729.78/44,594.76 = 7,543.16/x
  3. Step 3: Cross multiply
    29,729.78x = 44,594.76 × 7,543.16
  4. Step 4: Simplify right side
    29,729.78x = 336,385,409.84
  5. Step 5: Solve for x
    x = 336,385,409.84/29,729.78
  6. Step 6: Final answer
    x = 11,314.76

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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.