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Finding the Fourth Proportional to 30,435.96, 45,652.35 and 10,714.65

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Solution

The fourth proportional to 30,435.96, 45,652.35 and 10,714.65 is: 16,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,435.96 : 45,652.35 = 10,714.65 : x
  2. Step 2: Convert to fraction form
    30,435.96/45,652.35 = 10,714.65/x
  3. Step 3: Cross multiply
    30,435.96x = 45,652.35 × 10,714.65
  4. Step 4: Simplify right side
    30,435.96x = 489,148,951.93
  5. Step 5: Solve for x
    x = 489,148,951.93/30,435.96
  6. Step 6: Final answer
    x = 16,071.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.