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Finding the Fourth Proportional to 38,878.50, 53,658.82 and 29,430.66

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Solution

The fourth proportional to 38,878.50, 53,658.82 and 29,430.66 is: 40,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,878.50 : 53,658.82 = 29,430.66 : x
  2. Step 2: Convert to fraction form
    38,878.50/53,658.82 = 29,430.66/x
  3. Step 3: Cross multiply
    38,878.50x = 53,658.82 × 29,430.66
  4. Step 4: Simplify right side
    38,878.50x = 1,579,214,487.42
  5. Step 5: Solve for x
    x = 1,579,214,487.42/38,878.50
  6. Step 6: Final answer
    x = 40,619.22

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