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Finding the Fourth Proportional to 38,477.70, 57,607.20 and 29,656.80

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Solution

The fourth proportional to 38,477.70, 57,607.20 and 29,656.80 is: 44,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477.70 : 57,607.20 = 29,656.80 : x
  2. Step 2: Convert to fraction form
    38,477.70/57,607.20 = 29,656.80/x
  3. Step 3: Cross multiply
    38,477.70x = 57,607.20 × 29,656.80
  4. Step 4: Simplify right side
    38,477.70x = 1,708,445,208.96
  5. Step 5: Solve for x
    x = 1,708,445,208.96/38,477.70
  6. Step 6: Final answer
    x = 44,400.92

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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.