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Finding the Fourth Proportional to 102,349.89, 153,548.21 and 31,282.65

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Solution

The fourth proportional to 102,349.89, 153,548.21 and 31,282.65 is: 46,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,349.89 : 153,548.21 = 31,282.65 : x
  2. Step 2: Convert to fraction form
    102,349.89/153,548.21 = 31,282.65/x
  3. Step 3: Cross multiply
    102,349.89x = 153,548.21 × 31,282.65
  4. Step 4: Simplify right side
    102,349.89x = 4,803,394,911.56
  5. Step 5: Solve for x
    x = 4,803,394,911.56/102,349.89
  6. Step 6: Final answer
    x = 46,931.12

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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.