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Finding the Fourth Proportional to 38,658.96, 53,374.98 and 29,690.40

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Solution

The fourth proportional to 38,658.96, 53,374.98 and 29,690.40 is: 40,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.96 : 53,374.98 = 29,690.40 : x
  2. Step 2: Convert to fraction form
    38,658.96/53,374.98 = 29,690.40/x
  3. Step 3: Cross multiply
    38,658.96x = 53,374.98 × 29,690.40
  4. Step 4: Simplify right side
    38,658.96x = 1,584,724,506.19
  5. Step 5: Solve for x
    x = 1,584,724,506.19/38,658.96
  6. Step 6: Final answer
    x = 40,992.42

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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.