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Finding the Fourth Proportional to 102,537.33, 153,805.04 and 32,416.65

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Solution

The fourth proportional to 102,537.33, 153,805.04 and 32,416.65 is: 48,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,537.33 : 153,805.04 = 32,416.65 : x
  2. Step 2: Convert to fraction form
    102,537.33/153,805.04 = 32,416.65/x
  3. Step 3: Cross multiply
    102,537.33x = 153,805.04 × 32,416.65
  4. Step 4: Simplify right side
    102,537.33x = 4,985,843,987.83
  5. Step 5: Solve for x
    x = 4,985,843,987.83/102,537.33
  6. Step 6: Final answer
    x = 48,624.67

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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.